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Finding the Fourth Proportional to 6,190.47, 8,549.28 and 4,759.20

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Solution

The fourth proportional to 6,190.47, 8,549.28 and 4,759.20 is: 6,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.47 : 8,549.28 = 4,759.20 : x
  2. Step 2: Convert to fraction form
    6,190.47/8,549.28 = 4,759.20/x
  3. Step 3: Cross multiply
    6,190.47x = 8,549.28 × 4,759.20
  4. Step 4: Simplify right side
    6,190.47x = 40,687,733.38
  5. Step 5: Solve for x
    x = 40,687,733.38/6,190.47
  6. Step 6: Final answer
    x = 6,572.64

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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.