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Finding the Fourth Proportional to 3,525.72, 4,859.88 and 2,778.48

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Solution

The fourth proportional to 3,525.72, 4,859.88 and 2,778.48 is: 3,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.72 : 4,859.88 = 2,778.48 : x
  2. Step 2: Convert to fraction form
    3,525.72/4,859.88 = 2,778.48/x
  3. Step 3: Cross multiply
    3,525.72x = 4,859.88 × 2,778.48
  4. Step 4: Simplify right side
    3,525.72x = 13,503,079.38
  5. Step 5: Solve for x
    x = 13,503,079.38/3,525.72
  6. Step 6: Final answer
    x = 3,829.88

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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.