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Finding the Fourth Proportional to 3,562.98, 5,340.84 and 2,003.70

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Solution

The fourth proportional to 3,562.98, 5,340.84 and 2,003.70 is: 3,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.98 : 5,340.84 = 2,003.70 : x
  2. Step 2: Convert to fraction form
    3,562.98/5,340.84 = 2,003.70/x
  3. Step 3: Cross multiply
    3,562.98x = 5,340.84 × 2,003.70
  4. Step 4: Simplify right side
    3,562.98x = 10,701,441.11
  5. Step 5: Solve for x
    x = 10,701,441.11/3,562.98
  6. Step 6: Final answer
    x = 3,003.51

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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.