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Finding the Fourth Proportional to 4,179.60, 5,772.42 and 3,246.66

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Solution

The fourth proportional to 4,179.60, 5,772.42 and 3,246.66 is: 4,483.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.60 : 5,772.42 = 3,246.66 : x
  2. Step 2: Convert to fraction form
    4,179.60/5,772.42 = 3,246.66/x
  3. Step 3: Cross multiply
    4,179.60x = 5,772.42 × 3,246.66
  4. Step 4: Simplify right side
    4,179.60x = 18,741,085.12
  5. Step 5: Solve for x
    x = 18,741,085.12/4,179.60
  6. Step 6: Final answer
    x = 4,483.94

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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.