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Finding the Fourth Proportional to 3,182.64, 4,382.96 and 3,114.80

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Solution

The fourth proportional to 3,182.64, 4,382.96 and 3,114.80 is: 4,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.64 : 4,382.96 = 3,114.80 : x
  2. Step 2: Convert to fraction form
    3,182.64/4,382.96 = 3,114.80/x
  3. Step 3: Cross multiply
    3,182.64x = 4,382.96 × 3,114.80
  4. Step 4: Simplify right side
    3,182.64x = 13,652,043.81
  5. Step 5: Solve for x
    x = 13,652,043.81/3,182.64
  6. Step 6: Final answer
    x = 4,289.53

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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.