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Finding the Fourth Proportional to 3,520.71, 5,282.90 and 2,554.78

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Solution

The fourth proportional to 3,520.71, 5,282.90 and 2,554.78 is: 3,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.71 : 5,282.90 = 2,554.78 : x
  2. Step 2: Convert to fraction form
    3,520.71/5,282.90 = 2,554.78/x
  3. Step 3: Cross multiply
    3,520.71x = 5,282.90 × 2,554.78
  4. Step 4: Simplify right side
    3,520.71x = 13,496,647.26
  5. Step 5: Solve for x
    x = 13,496,647.26/3,520.71
  6. Step 6: Final answer
    x = 3,833.50

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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.