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Finding the Fourth Proportional to 5,776.62, 7,971.78 and 3,124.04

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Solution

The fourth proportional to 5,776.62, 7,971.78 and 3,124.04 is: 4,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.62 : 7,971.78 = 3,124.04 : x
  2. Step 2: Convert to fraction form
    5,776.62/7,971.78 = 3,124.04/x
  3. Step 3: Cross multiply
    5,776.62x = 7,971.78 × 3,124.04
  4. Step 4: Simplify right side
    5,776.62x = 24,904,131.45
  5. Step 5: Solve for x
    x = 24,904,131.45/5,776.62
  6. Step 6: Final answer
    x = 4,311.20

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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.