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Finding the Fourth Proportional to 6,301.71, 8,695.44 and 3,648.60

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Solution

The fourth proportional to 6,301.71, 8,695.44 and 3,648.60 is: 5,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.71 : 8,695.44 = 3,648.60 : x
  2. Step 2: Convert to fraction form
    6,301.71/8,695.44 = 3,648.60/x
  3. Step 3: Cross multiply
    6,301.71x = 8,695.44 × 3,648.60
  4. Step 4: Simplify right side
    6,301.71x = 31,726,182.38
  5. Step 5: Solve for x
    x = 31,726,182.38/6,301.71
  6. Step 6: Final answer
    x = 5,034.54

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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.