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Finding the Fourth Proportional to 3,562.05, 5,343.38 and 929.91

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Solution

The fourth proportional to 3,562.05, 5,343.38 and 929.91 is: 1,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.05 : 5,343.38 = 929.91 : x
  2. Step 2: Convert to fraction form
    3,562.05/5,343.38 = 929.91/x
  3. Step 3: Cross multiply
    3,562.05x = 5,343.38 × 929.91
  4. Step 4: Simplify right side
    3,562.05x = 4,968,862.50
  5. Step 5: Solve for x
    x = 4,968,862.50/3,562.05
  6. Step 6: Final answer
    x = 1,394.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.