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Finding the Fourth Proportional to 3,900.63, 5,849.11 and 1,301.74

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Solution

The fourth proportional to 3,900.63, 5,849.11 and 1,301.74 is: 1,952.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.63 : 5,849.11 = 1,301.74 : x
  2. Step 2: Convert to fraction form
    3,900.63/5,849.11 = 1,301.74/x
  3. Step 3: Cross multiply
    3,900.63x = 5,849.11 × 1,301.74
  4. Step 4: Simplify right side
    3,900.63x = 7,614,020.45
  5. Step 5: Solve for x
    x = 7,614,020.45/3,900.63
  6. Step 6: Final answer
    x = 1,952.00

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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.