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Finding the Fourth Proportional to 3,932, 5,898.72 and 1,334.24

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Solution

The fourth proportional to 3,932, 5,898.72 and 1,334.24 is: 2,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932 : 5,898.72 = 1,334.24 : x
  2. Step 2: Convert to fraction form
    3,932/5,898.72 = 1,334.24/x
  3. Step 3: Cross multiply
    3,932x = 5,898.72 × 1,334.24
  4. Step 4: Simplify right side
    3,932x = 7,870,308.17
  5. Step 5: Solve for x
    x = 7,870,308.17/3,932
  6. Step 6: Final answer
    x = 2,001.60

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