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Finding the Fourth Proportional to 5,980.68, 8,972.44 and 2,032.20

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Solution

The fourth proportional to 5,980.68, 8,972.44 and 2,032.20 is: 3,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.68 : 8,972.44 = 2,032.20 : x
  2. Step 2: Convert to fraction form
    5,980.68/8,972.44 = 2,032.20/x
  3. Step 3: Cross multiply
    5,980.68x = 8,972.44 × 2,032.20
  4. Step 4: Simplify right side
    5,980.68x = 18,233,792.57
  5. Step 5: Solve for x
    x = 18,233,792.57/5,980.68
  6. Step 6: Final answer
    x = 3,048.78

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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.