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Finding the Fourth Proportional to 5,661.29, 7,802.87 and 4,872.17

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Solution

The fourth proportional to 5,661.29, 7,802.87 and 4,872.17 is: 6,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.29 : 7,802.87 = 4,872.17 : x
  2. Step 2: Convert to fraction form
    5,661.29/7,802.87 = 4,872.17/x
  3. Step 3: Cross multiply
    5,661.29x = 7,802.87 × 4,872.17
  4. Step 4: Simplify right side
    5,661.29x = 38,016,884.77
  5. Step 5: Solve for x
    x = 38,016,884.77/5,661.29
  6. Step 6: Final answer
    x = 6,715.23

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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.