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Finding the Fourth Proportional to 4,871.13, 7,306.08 and 1,949.46

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Solution

The fourth proportional to 4,871.13, 7,306.08 and 1,949.46 is: 2,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.13 : 7,306.08 = 1,949.46 : x
  2. Step 2: Convert to fraction form
    4,871.13/7,306.08 = 1,949.46/x
  3. Step 3: Cross multiply
    4,871.13x = 7,306.08 × 1,949.46
  4. Step 4: Simplify right side
    4,871.13x = 14,242,910.72
  5. Step 5: Solve for x
    x = 14,242,910.72/4,871.13
  6. Step 6: Final answer
    x = 2,923.94

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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.