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Finding the Fourth Proportional to 5,582.39, 8,374.86 and 2,463.28

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Solution

The fourth proportional to 5,582.39, 8,374.86 and 2,463.28 is: 3,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.39 : 8,374.86 = 2,463.28 : x
  2. Step 2: Convert to fraction form
    5,582.39/8,374.86 = 2,463.28/x
  3. Step 3: Cross multiply
    5,582.39x = 8,374.86 × 2,463.28
  4. Step 4: Simplify right side
    5,582.39x = 20,629,625.14
  5. Step 5: Solve for x
    x = 20,629,625.14/5,582.39
  6. Step 6: Final answer
    x = 3,695.48

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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.