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Finding the Fourth Proportional to 4,348.81, 6,523.17 and 1,427.08

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Solution

The fourth proportional to 4,348.81, 6,523.17 and 1,427.08 is: 2,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.81 : 6,523.17 = 1,427.08 : x
  2. Step 2: Convert to fraction form
    4,348.81/6,523.17 = 1,427.08/x
  3. Step 3: Cross multiply
    4,348.81x = 6,523.17 × 1,427.08
  4. Step 4: Simplify right side
    4,348.81x = 9,309,085.44
  5. Step 5: Solve for x
    x = 9,309,085.44/4,348.81
  6. Step 6: Final answer
    x = 2,140.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.