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Finding the Fourth Proportional to 5,387.80, 7,455.90 and 5,258.20

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Solution

The fourth proportional to 5,387.80, 7,455.90 and 5,258.20 is: 7,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.80 : 7,455.90 = 5,258.20 : x
  2. Step 2: Convert to fraction form
    5,387.80/7,455.90 = 5,258.20/x
  3. Step 3: Cross multiply
    5,387.80x = 7,455.90 × 5,258.20
  4. Step 4: Simplify right side
    5,387.80x = 39,204,613.38
  5. Step 5: Solve for x
    x = 39,204,613.38/5,387.80
  6. Step 6: Final answer
    x = 7,276.55

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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.