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Finding the Fourth Proportional to 3,675, 5,508.86 and 2,032.32

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Solution

The fourth proportional to 3,675, 5,508.86 and 2,032.32 is: 3,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675 : 5,508.86 = 2,032.32 : x
  2. Step 2: Convert to fraction form
    3,675/5,508.86 = 2,032.32/x
  3. Step 3: Cross multiply
    3,675x = 5,508.86 × 2,032.32
  4. Step 4: Simplify right side
    3,675x = 11,195,756.19
  5. Step 5: Solve for x
    x = 11,195,756.19/3,675
  6. Step 6: Final answer
    x = 3,046.46

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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.