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Finding the Fourth Proportional to 5,881.48, 8,821.80 and 3,414.76

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Solution

The fourth proportional to 5,881.48, 8,821.80 and 3,414.76 is: 5,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.48 : 8,821.80 = 3,414.76 : x
  2. Step 2: Convert to fraction form
    5,881.48/8,821.80 = 3,414.76/x
  3. Step 3: Cross multiply
    5,881.48x = 8,821.80 × 3,414.76
  4. Step 4: Simplify right side
    5,881.48x = 30,124,329.77
  5. Step 5: Solve for x
    x = 30,124,329.77/5,881.48
  6. Step 6: Final answer
    x = 5,121.90

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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.