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Finding the Fourth Proportional to 4,871.97, 7,309.71 and 1,950.48

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Solution

The fourth proportional to 4,871.97, 7,309.71 and 1,950.48 is: 2,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.97 : 7,309.71 = 1,950.48 : x
  2. Step 2: Convert to fraction form
    4,871.97/7,309.71 = 1,950.48/x
  3. Step 3: Cross multiply
    4,871.97x = 7,309.71 × 1,950.48
  4. Step 4: Simplify right side
    4,871.97x = 14,257,443.16
  5. Step 5: Solve for x
    x = 14,257,443.16/4,871.97
  6. Step 6: Final answer
    x = 2,926.42

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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.