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Finding the Fourth Proportional to 3,658.69, 5,047.34 and 2,542.31

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Solution

The fourth proportional to 3,658.69, 5,047.34 and 2,542.31 is: 3,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.69 : 5,047.34 = 2,542.31 : x
  2. Step 2: Convert to fraction form
    3,658.69/5,047.34 = 2,542.31/x
  3. Step 3: Cross multiply
    3,658.69x = 5,047.34 × 2,542.31
  4. Step 4: Simplify right side
    3,658.69x = 12,831,902.96
  5. Step 5: Solve for x
    x = 12,831,902.96/3,658.69
  6. Step 6: Final answer
    x = 3,507.24

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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.