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Finding the Fourth Proportional to 5,843.76, 8,769 and 2,381.04

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Solution

The fourth proportional to 5,843.76, 8,769 and 2,381.04 is: 3,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.76 : 8,769 = 2,381.04 : x
  2. Step 2: Convert to fraction form
    5,843.76/8,769 = 2,381.04/x
  3. Step 3: Cross multiply
    5,843.76x = 8,769 × 2,381.04
  4. Step 4: Simplify right side
    5,843.76x = 20,879,339.76
  5. Step 5: Solve for x
    x = 20,879,339.76/5,843.76
  6. Step 6: Final answer
    x = 3,572.93

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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.