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Finding the Fourth Proportional to 3,115.97, 4,673.97 and 807.47

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Solution

The fourth proportional to 3,115.97, 4,673.97 and 807.47 is: 1,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.97 : 4,673.97 = 807.47 : x
  2. Step 2: Convert to fraction form
    3,115.97/4,673.97 = 807.47/x
  3. Step 3: Cross multiply
    3,115.97x = 4,673.97 × 807.47
  4. Step 4: Simplify right side
    3,115.97x = 3,774,084.71
  5. Step 5: Solve for x
    x = 3,774,084.71/3,115.97
  6. Step 6: Final answer
    x = 1,211.21

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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.