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Finding the Fourth Proportional to 3,438,106.05, 4,742,610.45 and 2,146,704.42

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Solution

The fourth proportional to 3,438,106.05, 4,742,610.45 and 2,146,704.42 is: 2,961,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438,106.05 : 4,742,610.45 = 2,146,704.42 : x
  2. Step 2: Convert to fraction form
    3,438,106.05/4,742,610.45 = 2,146,704.42/x
  3. Step 3: Cross multiply
    3,438,106.05x = 4,742,610.45 × 2,146,704.42
  4. Step 4: Simplify right side
    3,438,106.05x = 10,180,982,825,087.84
  5. Step 5: Solve for x
    x = 10,180,982,825,087.84/3,438,106.05
  6. Step 6: Final answer
    x = 2,961,218.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.