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Finding the Fourth Proportional to 5,582.90, 8,375.63 and 2,463.78

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Solution

The fourth proportional to 5,582.90, 8,375.63 and 2,463.78 is: 3,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.90 : 8,375.63 = 2,463.78 : x
  2. Step 2: Convert to fraction form
    5,582.90/8,375.63 = 2,463.78/x
  3. Step 3: Cross multiply
    5,582.90x = 8,375.63 × 2,463.78
  4. Step 4: Simplify right side
    5,582.90x = 20,635,697.36
  5. Step 5: Solve for x
    x = 20,635,697.36/5,582.90
  6. Step 6: Final answer
    x = 3,696.24

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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.