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Finding the Fourth Proportional to 3,913.67, 5,870.72 and 992

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Solution

The fourth proportional to 3,913.67, 5,870.72 and 992 is: 1,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.67 : 5,870.72 = 992 : x
  2. Step 2: Convert to fraction form
    3,913.67/5,870.72 = 992/x
  3. Step 3: Cross multiply
    3,913.67x = 5,870.72 × 992
  4. Step 4: Simplify right side
    3,913.67x = 5,823,754.24
  5. Step 5: Solve for x
    x = 5,823,754.24/3,913.67
  6. Step 6: Final answer
    x = 1,488.05

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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.