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Finding the Fourth Proportional to 6,340.30, 8,749.17 and 3,687.52

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Solution

The fourth proportional to 6,340.30, 8,749.17 and 3,687.52 is: 5,088.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.30 : 8,749.17 = 3,687.52 : x
  2. Step 2: Convert to fraction form
    6,340.30/8,749.17 = 3,687.52/x
  3. Step 3: Cross multiply
    6,340.30x = 8,749.17 × 3,687.52
  4. Step 4: Simplify right side
    6,340.30x = 32,262,739.36
  5. Step 5: Solve for x
    x = 32,262,739.36/6,340.30
  6. Step 6: Final answer
    x = 5,088.52

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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.