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Finding the Fourth Proportional to 5,615.38, 7,741.02 and 3,931.48

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Solution

The fourth proportional to 5,615.38, 7,741.02 and 3,931.48 is: 5,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.38 : 7,741.02 = 3,931.48 : x
  2. Step 2: Convert to fraction form
    5,615.38/7,741.02 = 3,931.48/x
  3. Step 3: Cross multiply
    5,615.38x = 7,741.02 × 3,931.48
  4. Step 4: Simplify right side
    5,615.38x = 30,433,665.31
  5. Step 5: Solve for x
    x = 30,433,665.31/5,615.38
  6. Step 6: Final answer
    x = 5,419.70

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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.