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Finding the Fourth Proportional to 6,002.31, 8,265.02 and 4,739.31

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Solution

The fourth proportional to 6,002.31, 8,265.02 and 4,739.31 is: 6,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.31 : 8,265.02 = 4,739.31 : x
  2. Step 2: Convert to fraction form
    6,002.31/8,265.02 = 4,739.31/x
  3. Step 3: Cross multiply
    6,002.31x = 8,265.02 × 4,739.31
  4. Step 4: Simplify right side
    6,002.31x = 39,170,491.94
  5. Step 5: Solve for x
    x = 39,170,491.94/6,002.31
  6. Step 6: Final answer
    x = 6,525.90

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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.