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Finding the Fourth Proportional to 6,280.40, 8,666.97 and 3,447.80

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Solution

The fourth proportional to 6,280.40, 8,666.97 and 3,447.80 is: 4,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.40 : 8,666.97 = 3,447.80 : x
  2. Step 2: Convert to fraction form
    6,280.40/8,666.97 = 3,447.80/x
  3. Step 3: Cross multiply
    6,280.40x = 8,666.97 × 3,447.80
  4. Step 4: Simplify right side
    6,280.40x = 29,881,935.83
  5. Step 5: Solve for x
    x = 29,881,935.83/6,280.40
  6. Step 6: Final answer
    x = 4,757.97

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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.