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Finding the Fourth Proportional to 3,535.97, 5,298.94 and 2,604.22

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Solution

The fourth proportional to 3,535.97, 5,298.94 and 2,604.22 is: 3,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.97 : 5,298.94 = 2,604.22 : x
  2. Step 2: Convert to fraction form
    3,535.97/5,298.94 = 2,604.22/x
  3. Step 3: Cross multiply
    3,535.97x = 5,298.94 × 2,604.22
  4. Step 4: Simplify right side
    3,535.97x = 13,799,605.53
  5. Step 5: Solve for x
    x = 13,799,605.53/3,535.97
  6. Step 6: Final answer
    x = 3,902.64

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1.5x scale

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.