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Finding the Fourth Proportional to 3,542.91, 5,315.15 and 1,351.65

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Solution

The fourth proportional to 3,542.91, 5,315.15 and 1,351.65 is: 2,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.91 : 5,315.15 = 1,351.65 : x
  2. Step 2: Convert to fraction form
    3,542.91/5,315.15 = 1,351.65/x
  3. Step 3: Cross multiply
    3,542.91x = 5,315.15 × 1,351.65
  4. Step 4: Simplify right side
    3,542.91x = 7,184,215.74
  5. Step 5: Solve for x
    x = 7,184,215.74/3,542.91
  6. Step 6: Final answer
    x = 2,027.77

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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.