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Finding the Fourth Proportional to 3,472.44, 5,208.16 and 1,132.66

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Solution

The fourth proportional to 3,472.44, 5,208.16 and 1,132.66 is: 1,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.44 : 5,208.16 = 1,132.66 : x
  2. Step 2: Convert to fraction form
    3,472.44/5,208.16 = 1,132.66/x
  3. Step 3: Cross multiply
    3,472.44x = 5,208.16 × 1,132.66
  4. Step 4: Simplify right side
    3,472.44x = 5,899,074.51
  5. Step 5: Solve for x
    x = 5,899,074.51/3,472.44
  6. Step 6: Final answer
    x = 1,698.83

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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.