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Finding the Fourth Proportional to 3,914.17, 5,871.25 and 992.49

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Solution

The fourth proportional to 3,914.17, 5,871.25 and 992.49 is: 1,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.17 : 5,871.25 = 992.49 : x
  2. Step 2: Convert to fraction form
    3,914.17/5,871.25 = 992.49/x
  3. Step 3: Cross multiply
    3,914.17x = 5,871.25 × 992.49
  4. Step 4: Simplify right side
    3,914.17x = 5,827,125.08
  5. Step 5: Solve for x
    x = 5,827,125.08/3,914.17
  6. Step 6: Final answer
    x = 1,488.73

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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.