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Finding the Fourth Proportional to 3,535.65, 5,302.56 and 1,974.68

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Solution

The fourth proportional to 3,535.65, 5,302.56 and 1,974.68 is: 2,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.65 : 5,302.56 = 1,974.68 : x
  2. Step 2: Convert to fraction form
    3,535.65/5,302.56 = 1,974.68/x
  3. Step 3: Cross multiply
    3,535.65x = 5,302.56 × 1,974.68
  4. Step 4: Simplify right side
    3,535.65x = 10,470,859.96
  5. Step 5: Solve for x
    x = 10,470,859.96/3,535.65
  6. Step 6: Final answer
    x = 2,961.51

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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.