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Finding the Fourth Proportional to 4,061.43, 6,093.14 and 1,139.69

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Solution

The fourth proportional to 4,061.43, 6,093.14 and 1,139.69 is: 1,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.43 : 6,093.14 = 1,139.69 : x
  2. Step 2: Convert to fraction form
    4,061.43/6,093.14 = 1,139.69/x
  3. Step 3: Cross multiply
    4,061.43x = 6,093.14 × 1,139.69
  4. Step 4: Simplify right side
    4,061.43x = 6,944,300.26
  5. Step 5: Solve for x
    x = 6,944,300.26/4,061.43
  6. Step 6: Final answer
    x = 1,709.82

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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.