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Finding the Fourth Proportional to 5,217.74, 7,822.80 and 2,442.86

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Solution

The fourth proportional to 5,217.74, 7,822.80 and 2,442.86 is: 3,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.74 : 7,822.80 = 2,442.86 : x
  2. Step 2: Convert to fraction form
    5,217.74/7,822.80 = 2,442.86/x
  3. Step 3: Cross multiply
    5,217.74x = 7,822.80 × 2,442.86
  4. Step 4: Simplify right side
    5,217.74x = 19,110,005.21
  5. Step 5: Solve for x
    x = 19,110,005.21/5,217.74
  6. Step 6: Final answer
    x = 3,662.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.