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Finding the Fourth Proportional to 5,582.45, 8,366.51 and 2,460.44

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Solution

The fourth proportional to 5,582.45, 8,366.51 and 2,460.44 is: 3,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.45 : 8,366.51 = 2,460.44 : x
  2. Step 2: Convert to fraction form
    5,582.45/8,366.51 = 2,460.44/x
  3. Step 3: Cross multiply
    5,582.45x = 8,366.51 × 2,460.44
  4. Step 4: Simplify right side
    5,582.45x = 20,585,241.73
  5. Step 5: Solve for x
    x = 20,585,241.73/5,582.45
  6. Step 6: Final answer
    x = 3,687.50

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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.