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Finding the Fourth Proportional to 3,648, 5,034 and 2,076.08

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Solution

The fourth proportional to 3,648, 5,034 and 2,076.08 is: 2,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648 : 5,034 = 2,076.08 : x
  2. Step 2: Convert to fraction form
    3,648/5,034 = 2,076.08/x
  3. Step 3: Cross multiply
    3,648x = 5,034 × 2,076.08
  4. Step 4: Simplify right side
    3,648x = 10,450,986.72
  5. Step 5: Solve for x
    x = 10,450,986.72/3,648
  6. Step 6: Final answer
    x = 2,864.85

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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.