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Finding the Fourth Proportional to 5,981.76, 8,967.24 and 2,519.28

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Solution

The fourth proportional to 5,981.76, 8,967.24 and 2,519.28 is: 3,776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.76 : 8,967.24 = 2,519.28 : x
  2. Step 2: Convert to fraction form
    5,981.76/8,967.24 = 2,519.28/x
  3. Step 3: Cross multiply
    5,981.76x = 8,967.24 × 2,519.28
  4. Step 4: Simplify right side
    5,981.76x = 22,590,988.39
  5. Step 5: Solve for x
    x = 22,590,988.39/5,981.76
  6. Step 6: Final answer
    x = 3,776.65

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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.