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Finding the Fourth Proportional to 5,639.14, 7,784.73 and 3,753.85

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Solution

The fourth proportional to 5,639.14, 7,784.73 and 3,753.85 is: 5,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.14 : 7,784.73 = 3,753.85 : x
  2. Step 2: Convert to fraction form
    5,639.14/7,784.73 = 3,753.85/x
  3. Step 3: Cross multiply
    5,639.14x = 7,784.73 × 3,753.85
  4. Step 4: Simplify right side
    5,639.14x = 29,222,708.71
  5. Step 5: Solve for x
    x = 29,222,708.71/5,639.14
  6. Step 6: Final answer
    x = 5,182.12

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