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Finding the Fourth Proportional to 3,535.65, 5,296.19 and 2,230.74

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Solution

The fourth proportional to 3,535.65, 5,296.19 and 2,230.74 is: 3,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.65 : 5,296.19 = 2,230.74 : x
  2. Step 2: Convert to fraction form
    3,535.65/5,296.19 = 2,230.74/x
  3. Step 3: Cross multiply
    3,535.65x = 5,296.19 × 2,230.74
  4. Step 4: Simplify right side
    3,535.65x = 11,814,411.73
  5. Step 5: Solve for x
    x = 11,814,411.73/3,535.65
  6. Step 6: Final answer
    x = 3,341.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.