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Finding the Fourth Proportional to 3,697.55, 5,101.39 and 2,439.23

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Solution

The fourth proportional to 3,697.55, 5,101.39 and 2,439.23 is: 3,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.55 : 5,101.39 = 2,439.23 : x
  2. Step 2: Convert to fraction form
    3,697.55/5,101.39 = 2,439.23/x
  3. Step 3: Cross multiply
    3,697.55x = 5,101.39 × 2,439.23
  4. Step 4: Simplify right side
    3,697.55x = 12,443,425.83
  5. Step 5: Solve for x
    x = 12,443,425.83/3,697.55
  6. Step 6: Final answer
    x = 3,365.32

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Why These Related Problems?

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