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Finding the Fourth Proportional to 3,930.88, 5,868.16 and 3,794.08

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Solution

The fourth proportional to 3,930.88, 5,868.16 and 3,794.08 is: 5,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.88 : 5,868.16 = 3,794.08 : x
  2. Step 2: Convert to fraction form
    3,930.88/5,868.16 = 3,794.08/x
  3. Step 3: Cross multiply
    3,930.88x = 5,868.16 × 3,794.08
  4. Step 4: Simplify right side
    3,930.88x = 22,264,268.49
  5. Step 5: Solve for x
    x = 22,264,268.49/3,930.88
  6. Step 6: Final answer
    x = 5,663.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.