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Finding the Fourth Proportional to 4,178.61, 5,766.08 and 2,499.68

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Solution

The fourth proportional to 4,178.61, 5,766.08 and 2,499.68 is: 3,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.61 : 5,766.08 = 2,499.68 : x
  2. Step 2: Convert to fraction form
    4,178.61/5,766.08 = 2,499.68/x
  3. Step 3: Cross multiply
    4,178.61x = 5,766.08 × 2,499.68
  4. Step 4: Simplify right side
    4,178.61x = 14,413,313.53
  5. Step 5: Solve for x
    x = 14,413,313.53/4,178.61
  6. Step 6: Final answer
    x = 3,449.31

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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.