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Finding the Fourth Proportional to 3,402.26, 5,101.32 and 1,527.80

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Solution

The fourth proportional to 3,402.26, 5,101.32 and 1,527.80 is: 2,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.26 : 5,101.32 = 1,527.80 : x
  2. Step 2: Convert to fraction form
    3,402.26/5,101.32 = 1,527.80/x
  3. Step 3: Cross multiply
    3,402.26x = 5,101.32 × 1,527.80
  4. Step 4: Simplify right side
    3,402.26x = 7,793,796.70
  5. Step 5: Solve for x
    x = 7,793,796.70/3,402.26
  6. Step 6: Final answer
    x = 2,290.77

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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.