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Finding the Fourth Proportional to 3,564.90, 5,343.57 and 1,372.68

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Solution

The fourth proportional to 3,564.90, 5,343.57 and 1,372.68 is: 2,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.90 : 5,343.57 = 1,372.68 : x
  2. Step 2: Convert to fraction form
    3,564.90/5,343.57 = 1,372.68/x
  3. Step 3: Cross multiply
    3,564.90x = 5,343.57 × 1,372.68
  4. Step 4: Simplify right side
    3,564.90x = 7,335,011.67
  5. Step 5: Solve for x
    x = 7,335,011.67/3,564.90
  6. Step 6: Final answer
    x = 2,057.56

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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.