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Finding the Fourth Proportional to 6,363.75, 8,781.98 and 3,569.25

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Solution

The fourth proportional to 6,363.75, 8,781.98 and 3,569.25 is: 4,925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.75 : 8,781.98 = 3,569.25 : x
  2. Step 2: Convert to fraction form
    6,363.75/8,781.98 = 3,569.25/x
  3. Step 3: Cross multiply
    6,363.75x = 8,781.98 × 3,569.25
  4. Step 4: Simplify right side
    6,363.75x = 31,345,064.27
  5. Step 5: Solve for x
    x = 31,345,064.27/6,363.75
  6. Step 6: Final answer
    x = 4,925.57

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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.