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Finding the Fourth Proportional to 3,000.06, 4,142.70 and 1,882.92

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Solution

The fourth proportional to 3,000.06, 4,142.70 and 1,882.92 is: 2,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.06 : 4,142.70 = 1,882.92 : x
  2. Step 2: Convert to fraction form
    3,000.06/4,142.70 = 1,882.92/x
  3. Step 3: Cross multiply
    3,000.06x = 4,142.70 × 1,882.92
  4. Step 4: Simplify right side
    3,000.06x = 7,800,363.27
  5. Step 5: Solve for x
    x = 7,800,363.27/3,000.06
  6. Step 6: Final answer
    x = 2,600.07

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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.