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Finding the Fourth Proportional to 5,339.57, 8,002.04 and 3,000.69

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Solution

The fourth proportional to 5,339.57, 8,002.04 and 3,000.69 is: 4,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.57 : 8,002.04 = 3,000.69 : x
  2. Step 2: Convert to fraction form
    5,339.57/8,002.04 = 3,000.69/x
  3. Step 3: Cross multiply
    5,339.57x = 8,002.04 × 3,000.69
  4. Step 4: Simplify right side
    5,339.57x = 24,011,626.40
  5. Step 5: Solve for x
    x = 24,011,626.40/5,339.57
  6. Step 6: Final answer
    x = 4,496.93

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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.