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Finding the Fourth Proportional to 3,685.26, 5,082.04 and 2,358.48

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Solution

The fourth proportional to 3,685.26, 5,082.04 and 2,358.48 is: 3,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.26 : 5,082.04 = 2,358.48 : x
  2. Step 2: Convert to fraction form
    3,685.26/5,082.04 = 2,358.48/x
  3. Step 3: Cross multiply
    3,685.26x = 5,082.04 × 2,358.48
  4. Step 4: Simplify right side
    3,685.26x = 11,985,889.70
  5. Step 5: Solve for x
    x = 11,985,889.70/3,685.26
  6. Step 6: Final answer
    x = 3,252.39

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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.