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Finding the Fourth Proportional to 3,914.40, 5,402.84 and 2,657.55

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Solution

The fourth proportional to 3,914.40, 5,402.84 and 2,657.55 is: 3,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.40 : 5,402.84 = 2,657.55 : x
  2. Step 2: Convert to fraction form
    3,914.40/5,402.84 = 2,657.55/x
  3. Step 3: Cross multiply
    3,914.40x = 5,402.84 × 2,657.55
  4. Step 4: Simplify right side
    3,914.40x = 14,358,304.15
  5. Step 5: Solve for x
    x = 14,358,304.15/3,914.40
  6. Step 6: Final answer
    x = 3,668.07

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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.