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Finding the Fourth Proportional to 3,147.46, 4,346.64 and 2,593.42

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Solution

The fourth proportional to 3,147.46, 4,346.64 and 2,593.42 is: 3,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.46 : 4,346.64 = 2,593.42 : x
  2. Step 2: Convert to fraction form
    3,147.46/4,346.64 = 2,593.42/x
  3. Step 3: Cross multiply
    3,147.46x = 4,346.64 × 2,593.42
  4. Step 4: Simplify right side
    3,147.46x = 11,272,663.11
  5. Step 5: Solve for x
    x = 11,272,663.11/3,147.46
  6. Step 6: Final answer
    x = 3,581.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.