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Finding the Fourth Proportional to 5,586.77, 8,385.02 and 3,641.15

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Solution

The fourth proportional to 5,586.77, 8,385.02 and 3,641.15 is: 5,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.77 : 8,385.02 = 3,641.15 : x
  2. Step 2: Convert to fraction form
    5,586.77/8,385.02 = 3,641.15/x
  3. Step 3: Cross multiply
    5,586.77x = 8,385.02 × 3,641.15
  4. Step 4: Simplify right side
    5,586.77x = 30,531,115.57
  5. Step 5: Solve for x
    x = 30,531,115.57/5,586.77
  6. Step 6: Final answer
    x = 5,464.90

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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.