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Finding the Fourth Proportional to 5,757.20, 8,594.02 and 5,330

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Solution

The fourth proportional to 5,757.20, 8,594.02 and 5,330 is: 7,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.20 : 8,594.02 = 5,330 : x
  2. Step 2: Convert to fraction form
    5,757.20/8,594.02 = 5,330/x
  3. Step 3: Cross multiply
    5,757.20x = 8,594.02 × 5,330
  4. Step 4: Simplify right side
    5,757.20x = 45,806,126.60
  5. Step 5: Solve for x
    x = 45,806,126.60/5,757.20
  6. Step 6: Final answer
    x = 7,956.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.