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Finding the Fourth Proportional to 3,778.64, 5,642.50 and 3,086.68

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Solution

The fourth proportional to 3,778.64, 5,642.50 and 3,086.68 is: 4,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.64 : 5,642.50 = 3,086.68 : x
  2. Step 2: Convert to fraction form
    3,778.64/5,642.50 = 3,086.68/x
  3. Step 3: Cross multiply
    3,778.64x = 5,642.50 × 3,086.68
  4. Step 4: Simplify right side
    3,778.64x = 17,416,581.65
  5. Step 5: Solve for x
    x = 17,416,581.65/3,778.64
  6. Step 6: Final answer
    x = 4,609.22

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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.