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Finding the Fourth Proportional to 3,914.42, 5,402.84 and 2,657.57

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Solution

The fourth proportional to 3,914.42, 5,402.84 and 2,657.57 is: 3,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.42 : 5,402.84 = 2,657.57 : x
  2. Step 2: Convert to fraction form
    3,914.42/5,402.84 = 2,657.57/x
  3. Step 3: Cross multiply
    3,914.42x = 5,402.84 × 2,657.57
  4. Step 4: Simplify right side
    3,914.42x = 14,358,385.20
  5. Step 5: Solve for x
    x = 14,358,385.20/3,914.42
  6. Step 6: Final answer
    x = 3,668.08

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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.