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Finding the Fourth Proportional to 4,262.46, 6,350.04 and 4,105.74

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Solution

The fourth proportional to 4,262.46, 6,350.04 and 4,105.74 is: 6,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.46 : 6,350.04 = 4,105.74 : x
  2. Step 2: Convert to fraction form
    4,262.46/6,350.04 = 4,105.74/x
  3. Step 3: Cross multiply
    4,262.46x = 6,350.04 × 4,105.74
  4. Step 4: Simplify right side
    4,262.46x = 26,071,613.23
  5. Step 5: Solve for x
    x = 26,071,613.23/4,262.46
  6. Step 6: Final answer
    x = 6,116.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.