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Finding the Fourth Proportional to 5,398.98, 7,463.97 and 5,349.78

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Solution

The fourth proportional to 5,398.98, 7,463.97 and 5,349.78 is: 7,395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.98 : 7,463.97 = 5,349.78 : x
  2. Step 2: Convert to fraction form
    5,398.98/7,463.97 = 5,349.78/x
  3. Step 3: Cross multiply
    5,398.98x = 7,463.97 × 5,349.78
  4. Step 4: Simplify right side
    5,398.98x = 39,930,597.43
  5. Step 5: Solve for x
    x = 39,930,597.43/5,398.98
  6. Step 6: Final answer
    x = 7,395.95

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1.5x scale

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.