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Finding the Fourth Proportional to 3,690.98, 5,535.47 and 2,520.78

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Solution

The fourth proportional to 3,690.98, 5,535.47 and 2,520.78 is: 3,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.98 : 5,535.47 = 2,520.78 : x
  2. Step 2: Convert to fraction form
    3,690.98/5,535.47 = 2,520.78/x
  3. Step 3: Cross multiply
    3,690.98x = 5,535.47 × 2,520.78
  4. Step 4: Simplify right side
    3,690.98x = 13,953,687.61
  5. Step 5: Solve for x
    x = 13,953,687.61/3,690.98
  6. Step 6: Final answer
    x = 3,780.49

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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.