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Finding the Fourth Proportional to 5,980.62, 8,972.30 and 2,282.77

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Solution

The fourth proportional to 5,980.62, 8,972.30 and 2,282.77 is: 3,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.62 : 8,972.30 = 2,282.77 : x
  2. Step 2: Convert to fraction form
    5,980.62/8,972.30 = 2,282.77/x
  3. Step 3: Cross multiply
    5,980.62x = 8,972.30 × 2,282.77
  4. Step 4: Simplify right side
    5,980.62x = 20,481,697.27
  5. Step 5: Solve for x
    x = 20,481,697.27/5,980.62
  6. Step 6: Final answer
    x = 3,424.68

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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.