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Finding the Fourth Proportional to 6,117.56, 9,180 and 2,654.81

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Solution

The fourth proportional to 6,117.56, 9,180 and 2,654.81 is: 3,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.56 : 9,180 = 2,654.81 : x
  2. Step 2: Convert to fraction form
    6,117.56/9,180 = 2,654.81/x
  3. Step 3: Cross multiply
    6,117.56x = 9,180 × 2,654.81
  4. Step 4: Simplify right side
    6,117.56x = 24,371,155.80
  5. Step 5: Solve for x
    x = 24,371,155.80/6,117.56
  6. Step 6: Final answer
    x = 3,983.80

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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.