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Finding the Fourth Proportional to 3,618.79, 5,434.87 and 2,166.86

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Solution

The fourth proportional to 3,618.79, 5,434.87 and 2,166.86 is: 3,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.79 : 5,434.87 = 2,166.86 : x
  2. Step 2: Convert to fraction form
    3,618.79/5,434.87 = 2,166.86/x
  3. Step 3: Cross multiply
    3,618.79x = 5,434.87 × 2,166.86
  4. Step 4: Simplify right side
    3,618.79x = 11,776,591.57
  5. Step 5: Solve for x
    x = 11,776,591.57/3,618.79
  6. Step 6: Final answer
    x = 3,254.29

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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.