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Finding the Fourth Proportional to 5,876.04, 8,811.27 and 3,411.62

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Solution

The fourth proportional to 5,876.04, 8,811.27 and 3,411.62 is: 5,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.04 : 8,811.27 = 3,411.62 : x
  2. Step 2: Convert to fraction form
    5,876.04/8,811.27 = 3,411.62/x
  3. Step 3: Cross multiply
    5,876.04x = 8,811.27 × 3,411.62
  4. Step 4: Simplify right side
    5,876.04x = 30,060,704.96
  5. Step 5: Solve for x
    x = 30,060,704.96/5,876.04
  6. Step 6: Final answer
    x = 5,115.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.