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Finding the Fourth Proportional to 5,582.70, 8,369.10 and 2,805.39

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Solution

The fourth proportional to 5,582.70, 8,369.10 and 2,805.39 is: 4,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.70 : 8,369.10 = 2,805.39 : x
  2. Step 2: Convert to fraction form
    5,582.70/8,369.10 = 2,805.39/x
  3. Step 3: Cross multiply
    5,582.70x = 8,369.10 × 2,805.39
  4. Step 4: Simplify right side
    5,582.70x = 23,478,589.45
  5. Step 5: Solve for x
    x = 23,478,589.45/5,582.70
  6. Step 6: Final answer
    x = 4,205.60

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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.