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Finding the Fourth Proportional to 6,001.22, 8,281.29 and 3,763

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Solution

The fourth proportional to 6,001.22, 8,281.29 and 3,763 is: 5,192.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.22 : 8,281.29 = 3,763 : x
  2. Step 2: Convert to fraction form
    6,001.22/8,281.29 = 3,763/x
  3. Step 3: Cross multiply
    6,001.22x = 8,281.29 × 3,763
  4. Step 4: Simplify right side
    6,001.22x = 31,162,494.27
  5. Step 5: Solve for x
    x = 31,162,494.27/6,001.22
  6. Step 6: Final answer
    x = 5,192.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.