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Finding the Fourth Proportional to 3,527.87, 5,290.58 and 1,337.22

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Solution

The fourth proportional to 3,527.87, 5,290.58 and 1,337.22 is: 2,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.87 : 5,290.58 = 1,337.22 : x
  2. Step 2: Convert to fraction form
    3,527.87/5,290.58 = 1,337.22/x
  3. Step 3: Cross multiply
    3,527.87x = 5,290.58 × 1,337.22
  4. Step 4: Simplify right side
    3,527.87x = 7,074,672.73
  5. Step 5: Solve for x
    x = 7,074,672.73/3,527.87
  6. Step 6: Final answer
    x = 2,005.37

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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.