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Finding the Fourth Proportional to 5,148.73, 7,753.27 and 3,698.02

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Solution

The fourth proportional to 5,148.73, 7,753.27 and 3,698.02 is: 5,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.73 : 7,753.27 = 3,698.02 : x
  2. Step 2: Convert to fraction form
    5,148.73/7,753.27 = 3,698.02/x
  3. Step 3: Cross multiply
    5,148.73x = 7,753.27 × 3,698.02
  4. Step 4: Simplify right side
    5,148.73x = 28,671,747.53
  5. Step 5: Solve for x
    x = 28,671,747.53/5,148.73
  6. Step 6: Final answer
    x = 5,568.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.