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Finding the Fourth Proportional to 4,129.81, 6,194.93 and 1,532.14

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Solution

The fourth proportional to 4,129.81, 6,194.93 and 1,532.14 is: 2,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.81 : 6,194.93 = 1,532.14 : x
  2. Step 2: Convert to fraction form
    4,129.81/6,194.93 = 1,532.14/x
  3. Step 3: Cross multiply
    4,129.81x = 6,194.93 × 1,532.14
  4. Step 4: Simplify right side
    4,129.81x = 9,491,500.05
  5. Step 5: Solve for x
    x = 9,491,500.05/4,129.81
  6. Step 6: Final answer
    x = 2,298.29

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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.