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Finding the Fourth Proportional to 6,262.74, 8,640.36 and 3,743.10

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Solution

The fourth proportional to 6,262.74, 8,640.36 and 3,743.10 is: 5,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.74 : 8,640.36 = 3,743.10 : x
  2. Step 2: Convert to fraction form
    6,262.74/8,640.36 = 3,743.10/x
  3. Step 3: Cross multiply
    6,262.74x = 8,640.36 × 3,743.10
  4. Step 4: Simplify right side
    6,262.74x = 32,341,731.52
  5. Step 5: Solve for x
    x = 32,341,731.52/6,262.74
  6. Step 6: Final answer
    x = 5,164.15

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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.