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Finding the Fourth Proportional to 3,969.32, 5,478.03 and 2,397.38

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Solution

The fourth proportional to 3,969.32, 5,478.03 and 2,397.38 is: 3,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.32 : 5,478.03 = 2,397.38 : x
  2. Step 2: Convert to fraction form
    3,969.32/5,478.03 = 2,397.38/x
  3. Step 3: Cross multiply
    3,969.32x = 5,478.03 × 2,397.38
  4. Step 4: Simplify right side
    3,969.32x = 13,132,892.17
  5. Step 5: Solve for x
    x = 13,132,892.17/3,969.32
  6. Step 6: Final answer
    x = 3,308.60

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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.