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Finding the Fourth Proportional to 3,934.88, 5,430.02 and 2,166.49

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Solution

The fourth proportional to 3,934.88, 5,430.02 and 2,166.49 is: 2,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.88 : 5,430.02 = 2,166.49 : x
  2. Step 2: Convert to fraction form
    3,934.88/5,430.02 = 2,166.49/x
  3. Step 3: Cross multiply
    3,934.88x = 5,430.02 × 2,166.49
  4. Step 4: Simplify right side
    3,934.88x = 11,764,084.03
  5. Step 5: Solve for x
    x = 11,764,084.03/3,934.88
  6. Step 6: Final answer
    x = 2,989.70

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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.