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Finding the Fourth Proportional to 5,872.74, 8,098.88 and 4,681.68

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Solution

The fourth proportional to 5,872.74, 8,098.88 and 4,681.68 is: 6,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.74 : 8,098.88 = 4,681.68 : x
  2. Step 2: Convert to fraction form
    5,872.74/8,098.88 = 4,681.68/x
  3. Step 3: Cross multiply
    5,872.74x = 8,098.88 × 4,681.68
  4. Step 4: Simplify right side
    5,872.74x = 37,916,300.62
  5. Step 5: Solve for x
    x = 37,916,300.62/5,872.74
  6. Step 6: Final answer
    x = 6,456.32

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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.