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Finding the Fourth Proportional to 3,912.96, 5,869.45 and 991.25

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Solution

The fourth proportional to 3,912.96, 5,869.45 and 991.25 is: 1,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.96 : 5,869.45 = 991.25 : x
  2. Step 2: Convert to fraction form
    3,912.96/5,869.45 = 991.25/x
  3. Step 3: Cross multiply
    3,912.96x = 5,869.45 × 991.25
  4. Step 4: Simplify right side
    3,912.96x = 5,818,113.65
  5. Step 5: Solve for x
    x = 5,818,113.65/3,912.96
  6. Step 6: Final answer
    x = 1,486.88

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1.5x scale

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.