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Finding the Fourth Proportional to 5,711.29, 7,878.54 and 3,473.85

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Solution

The fourth proportional to 5,711.29, 7,878.54 and 3,473.85 is: 4,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.29 : 7,878.54 = 3,473.85 : x
  2. Step 2: Convert to fraction form
    5,711.29/7,878.54 = 3,473.85/x
  3. Step 3: Cross multiply
    5,711.29x = 7,878.54 × 3,473.85
  4. Step 4: Simplify right side
    5,711.29x = 27,368,866.18
  5. Step 5: Solve for x
    x = 27,368,866.18/5,711.29
  6. Step 6: Final answer
    x = 4,792.06

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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.