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Finding the Fourth Proportional to 5,782.88, 7,972.08 and 4,124

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Solution

The fourth proportional to 5,782.88, 7,972.08 and 4,124 is: 5,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.88 : 7,972.08 = 4,124 : x
  2. Step 2: Convert to fraction form
    5,782.88/7,972.08 = 4,124/x
  3. Step 3: Cross multiply
    5,782.88x = 7,972.08 × 4,124
  4. Step 4: Simplify right side
    5,782.88x = 32,876,857.92
  5. Step 5: Solve for x
    x = 32,876,857.92/5,782.88
  6. Step 6: Final answer
    x = 5,685.20

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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.