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Finding the Fourth Proportional to 4,312.74, 5,945.31 and 3,049.86

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Solution

The fourth proportional to 4,312.74, 5,945.31 and 3,049.86 is: 4,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.74 : 5,945.31 = 3,049.86 : x
  2. Step 2: Convert to fraction form
    4,312.74/5,945.31 = 3,049.86/x
  3. Step 3: Cross multiply
    4,312.74x = 5,945.31 × 3,049.86
  4. Step 4: Simplify right side
    4,312.74x = 18,132,363.16
  5. Step 5: Solve for x
    x = 18,132,363.16/4,312.74
  6. Step 6: Final answer
    x = 4,204.37

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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.