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Finding the Fourth Proportional to 5,911.92, 8,159.40 and 3,522

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Solution

The fourth proportional to 5,911.92, 8,159.40 and 3,522 is: 4,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.92 : 8,159.40 = 3,522 : x
  2. Step 2: Convert to fraction form
    5,911.92/8,159.40 = 3,522/x
  3. Step 3: Cross multiply
    5,911.92x = 8,159.40 × 3,522
  4. Step 4: Simplify right side
    5,911.92x = 28,737,406.80
  5. Step 5: Solve for x
    x = 28,737,406.80/5,911.92
  6. Step 6: Final answer
    x = 4,860.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.