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Finding the Fourth Proportional to 5,930.84, 8,901.76 and 3,011.24

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Solution

The fourth proportional to 5,930.84, 8,901.76 and 3,011.24 is: 4,519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.84 : 8,901.76 = 3,011.24 : x
  2. Step 2: Convert to fraction form
    5,930.84/8,901.76 = 3,011.24/x
  3. Step 3: Cross multiply
    5,930.84x = 8,901.76 × 3,011.24
  4. Step 4: Simplify right side
    5,930.84x = 26,805,335.78
  5. Step 5: Solve for x
    x = 26,805,335.78/5,930.84
  6. Step 6: Final answer
    x = 4,519.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.