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Finding the Fourth Proportional to 5,841.65, 8,780.70 and 5,732.30

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Solution

The fourth proportional to 5,841.65, 8,780.70 and 5,732.30 is: 8,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.65 : 8,780.70 = 5,732.30 : x
  2. Step 2: Convert to fraction form
    5,841.65/8,780.70 = 5,732.30/x
  3. Step 3: Cross multiply
    5,841.65x = 8,780.70 × 5,732.30
  4. Step 4: Simplify right side
    5,841.65x = 50,333,606.61
  5. Step 5: Solve for x
    x = 50,333,606.61/5,841.65
  6. Step 6: Final answer
    x = 8,616.33

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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.