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Finding the Fourth Proportional to 7,052.84, 10,579.32 and 2,891.78

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Solution

The fourth proportional to 7,052.84, 10,579.32 and 2,891.78 is: 4,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.84 : 10,579.32 = 2,891.78 : x
  2. Step 2: Convert to fraction form
    7,052.84/10,579.32 = 2,891.78/x
  3. Step 3: Cross multiply
    7,052.84x = 10,579.32 × 2,891.78
  4. Step 4: Simplify right side
    7,052.84x = 30,593,065.99
  5. Step 5: Solve for x
    x = 30,593,065.99/7,052.84
  6. Step 6: Final answer
    x = 4,337.69

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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.