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Finding the Fourth Proportional to 3,758.32, 5,185.92 and 3,340.48

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Solution

The fourth proportional to 3,758.32, 5,185.92 and 3,340.48 is: 4,609.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.32 : 5,185.92 = 3,340.48 : x
  2. Step 2: Convert to fraction form
    3,758.32/5,185.92 = 3,340.48/x
  3. Step 3: Cross multiply
    3,758.32x = 5,185.92 × 3,340.48
  4. Step 4: Simplify right side
    3,758.32x = 17,323,462.04
  5. Step 5: Solve for x
    x = 17,323,462.04/3,758.32
  6. Step 6: Final answer
    x = 4,609.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.