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Finding the Fourth Proportional to 6,147.90, 8,488.80 and 4,729.39

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Solution

The fourth proportional to 6,147.90, 8,488.80 and 4,729.39 is: 6,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.90 : 8,488.80 = 4,729.39 : x
  2. Step 2: Convert to fraction form
    6,147.90/8,488.80 = 4,729.39/x
  3. Step 3: Cross multiply
    6,147.90x = 8,488.80 × 4,729.39
  4. Step 4: Simplify right side
    6,147.90x = 40,146,824.61
  5. Step 5: Solve for x
    x = 40,146,824.61/6,147.90
  6. Step 6: Final answer
    x = 6,530.17

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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.