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Finding the Fourth Proportional to 5,318.62, 7,985.00 and 4,543.61

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Solution

The fourth proportional to 5,318.62, 7,985.00 and 4,543.61 is: 6,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.62 : 7,985.00 = 4,543.61 : x
  2. Step 2: Convert to fraction form
    5,318.62/7,985.00 = 4,543.61/x
  3. Step 3: Cross multiply
    5,318.62x = 7,985.00 × 4,543.61
  4. Step 4: Simplify right side
    5,318.62x = 36,280,692.54
  5. Step 5: Solve for x
    x = 36,280,692.54/5,318.62
  6. Step 6: Final answer
    x = 6,821.44

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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.