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Finding the Fourth Proportional to 5,582.42, 8,375.45 and 2,807.66

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Solution

The fourth proportional to 5,582.42, 8,375.45 and 2,807.66 is: 4,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.42 : 8,375.45 = 2,807.66 : x
  2. Step 2: Convert to fraction form
    5,582.42/8,375.45 = 2,807.66/x
  3. Step 3: Cross multiply
    5,582.42x = 8,375.45 × 2,807.66
  4. Step 4: Simplify right side
    5,582.42x = 23,515,415.95
  5. Step 5: Solve for x
    x = 23,515,415.95/5,582.42
  6. Step 6: Final answer
    x = 4,212.41

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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.