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Finding the Fourth Proportional to 6,294.58, 8,685.84 and 3,641.47

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Solution

The fourth proportional to 6,294.58, 8,685.84 and 3,641.47 is: 5,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.58 : 8,685.84 = 3,641.47 : x
  2. Step 2: Convert to fraction form
    6,294.58/8,685.84 = 3,641.47/x
  3. Step 3: Cross multiply
    6,294.58x = 8,685.84 × 3,641.47
  4. Step 4: Simplify right side
    6,294.58x = 31,629,225.78
  5. Step 5: Solve for x
    x = 31,629,225.78/6,294.58
  6. Step 6: Final answer
    x = 5,024.83

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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.