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Finding the Fourth Proportional to 3,607.85, 5,404.89 and 2,142.56

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Solution

The fourth proportional to 3,607.85, 5,404.89 and 2,142.56 is: 3,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.85 : 5,404.89 = 2,142.56 : x
  2. Step 2: Convert to fraction form
    3,607.85/5,404.89 = 2,142.56/x
  3. Step 3: Cross multiply
    3,607.85x = 5,404.89 × 2,142.56
  4. Step 4: Simplify right side
    3,607.85x = 11,580,301.12
  5. Step 5: Solve for x
    x = 11,580,301.12/3,607.85
  6. Step 6: Final answer
    x = 3,209.75

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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.