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Finding the Fourth Proportional to 5,499.32, 7,582.38 and 3,822.12

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Solution

The fourth proportional to 5,499.32, 7,582.38 and 3,822.12 is: 5,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,499.32 : 7,582.38 = 3,822.12 : x
  2. Step 2: Convert to fraction form
    5,499.32/7,582.38 = 3,822.12/x
  3. Step 3: Cross multiply
    5,499.32x = 7,582.38 × 3,822.12
  4. Step 4: Simplify right side
    5,499.32x = 28,980,766.25
  5. Step 5: Solve for x
    x = 28,980,766.25/5,499.32
  6. Step 6: Final answer
    x = 5,269.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.