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Finding the Fourth Proportional to 3,938.99, 5,908.79 and 1,306.40

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Solution

The fourth proportional to 3,938.99, 5,908.79 and 1,306.40 is: 1,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.99 : 5,908.79 = 1,306.40 : x
  2. Step 2: Convert to fraction form
    3,938.99/5,908.79 = 1,306.40/x
  3. Step 3: Cross multiply
    3,938.99x = 5,908.79 × 1,306.40
  4. Step 4: Simplify right side
    3,938.99x = 7,719,216.98
  5. Step 5: Solve for x
    x = 7,719,216.98/3,938.99
  6. Step 6: Final answer
    x = 1,959.70

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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.