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Finding the Fourth Proportional to 3,527.57, 5,290.30 and 2,213.32

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Solution

The fourth proportional to 3,527.57, 5,290.30 and 2,213.32 is: 3,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.57 : 5,290.30 = 2,213.32 : x
  2. Step 2: Convert to fraction form
    3,527.57/5,290.30 = 2,213.32/x
  3. Step 3: Cross multiply
    3,527.57x = 5,290.30 × 2,213.32
  4. Step 4: Simplify right side
    3,527.57x = 11,709,126.80
  5. Step 5: Solve for x
    x = 11,709,126.80/3,527.57
  6. Step 6: Final answer
    x = 3,319.32

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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.