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Finding the Fourth Proportional to 6,294.66, 8,685.54 and 3,641.91

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Solution

The fourth proportional to 6,294.66, 8,685.54 and 3,641.91 is: 5,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.66 : 8,685.54 = 3,641.91 : x
  2. Step 2: Convert to fraction form
    6,294.66/8,685.54 = 3,641.91/x
  3. Step 3: Cross multiply
    6,294.66x = 8,685.54 × 3,641.91
  4. Step 4: Simplify right side
    6,294.66x = 31,631,954.98
  5. Step 5: Solve for x
    x = 31,631,954.98/6,294.66
  6. Step 6: Final answer
    x = 5,025.20

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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.