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Finding the Fourth Proportional to 3,502.76, 5,253.84 and 2,040.98

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Solution

The fourth proportional to 3,502.76, 5,253.84 and 2,040.98 is: 3,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.76 : 5,253.84 = 2,040.98 : x
  2. Step 2: Convert to fraction form
    3,502.76/5,253.84 = 2,040.98/x
  3. Step 3: Cross multiply
    3,502.76x = 5,253.84 × 2,040.98
  4. Step 4: Simplify right side
    3,502.76x = 10,722,982.36
  5. Step 5: Solve for x
    x = 10,722,982.36/3,502.76
  6. Step 6: Final answer
    x = 3,061.30

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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.