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Finding the Fourth Proportional to 5,842.38, 8,756.76 and 2,141.82

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Solution

The fourth proportional to 5,842.38, 8,756.76 and 2,141.82 is: 3,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.38 : 8,756.76 = 2,141.82 : x
  2. Step 2: Convert to fraction form
    5,842.38/8,756.76 = 2,141.82/x
  3. Step 3: Cross multiply
    5,842.38x = 8,756.76 × 2,141.82
  4. Step 4: Simplify right side
    5,842.38x = 18,755,403.70
  5. Step 5: Solve for x
    x = 18,755,403.70/5,842.38
  6. Step 6: Final answer
    x = 3,210.23

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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.