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Finding the Fourth Proportional to 5,696.88, 8,545.52 and 2,922.80

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Solution

The fourth proportional to 5,696.88, 8,545.52 and 2,922.80 is: 4,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.88 : 8,545.52 = 2,922.80 : x
  2. Step 2: Convert to fraction form
    5,696.88/8,545.52 = 2,922.80/x
  3. Step 3: Cross multiply
    5,696.88x = 8,545.52 × 2,922.80
  4. Step 4: Simplify right side
    5,696.88x = 24,976,845.86
  5. Step 5: Solve for x
    x = 24,976,845.86/5,696.88
  6. Step 6: Final answer
    x = 4,384.30

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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.