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Finding the Fourth Proportional to 5,966, 8,949.52 and 1,862

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Solution

The fourth proportional to 5,966, 8,949.52 and 1,862 is: 2,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966 : 8,949.52 = 1,862 : x
  2. Step 2: Convert to fraction form
    5,966/8,949.52 = 1,862/x
  3. Step 3: Cross multiply
    5,966x = 8,949.52 × 1,862
  4. Step 4: Simplify right side
    5,966x = 16,664,006.24
  5. Step 5: Solve for x
    x = 16,664,006.24/5,966
  6. Step 6: Final answer
    x = 2,793.16

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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.