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Finding the Fourth Proportional to 6,023.71, 9,034.17 and 1,640.29

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Solution

The fourth proportional to 6,023.71, 9,034.17 and 1,640.29 is: 2,460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.71 : 9,034.17 = 1,640.29 : x
  2. Step 2: Convert to fraction form
    6,023.71/9,034.17 = 1,640.29/x
  3. Step 3: Cross multiply
    6,023.71x = 9,034.17 × 1,640.29
  4. Step 4: Simplify right side
    6,023.71x = 14,818,658.71
  5. Step 5: Solve for x
    x = 14,818,658.71/6,023.71
  6. Step 6: Final answer
    x = 2,460.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.