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Finding the Fourth Proportional to 3,686.79, 5,092.75 and 2,945.95

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Solution

The fourth proportional to 3,686.79, 5,092.75 and 2,945.95 is: 4,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.79 : 5,092.75 = 2,945.95 : x
  2. Step 2: Convert to fraction form
    3,686.79/5,092.75 = 2,945.95/x
  3. Step 3: Cross multiply
    3,686.79x = 5,092.75 × 2,945.95
  4. Step 4: Simplify right side
    3,686.79x = 15,002,966.77
  5. Step 5: Solve for x
    x = 15,002,966.77/3,686.79
  6. Step 6: Final answer
    x = 4,069.38

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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.