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Finding the Fourth Proportional to 6,281.74, 8,668.62 and 3,449.10

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Solution

The fourth proportional to 6,281.74, 8,668.62 and 3,449.10 is: 4,759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.74 : 8,668.62 = 3,449.10 : x
  2. Step 2: Convert to fraction form
    6,281.74/8,668.62 = 3,449.10/x
  3. Step 3: Cross multiply
    6,281.74x = 8,668.62 × 3,449.10
  4. Step 4: Simplify right side
    6,281.74x = 29,898,937.24
  5. Step 5: Solve for x
    x = 29,898,937.24/6,281.74
  6. Step 6: Final answer
    x = 4,759.66

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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.