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Finding the Fourth Proportional to 3,823.52, 5,277.22 and 2,480.80

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Solution

The fourth proportional to 3,823.52, 5,277.22 and 2,480.80 is: 3,424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.52 : 5,277.22 = 2,480.80 : x
  2. Step 2: Convert to fraction form
    3,823.52/5,277.22 = 2,480.80/x
  3. Step 3: Cross multiply
    3,823.52x = 5,277.22 × 2,480.80
  4. Step 4: Simplify right side
    3,823.52x = 13,091,727.38
  5. Step 5: Solve for x
    x = 13,091,727.38/3,823.52
  6. Step 6: Final answer
    x = 3,424.00

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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.