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Finding the Fourth Proportional to 5,422.86, 8,130.11 and 2,497.68

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Solution

The fourth proportional to 5,422.86, 8,130.11 and 2,497.68 is: 3,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.86 : 8,130.11 = 2,497.68 : x
  2. Step 2: Convert to fraction form
    5,422.86/8,130.11 = 2,497.68/x
  3. Step 3: Cross multiply
    5,422.86x = 8,130.11 × 2,497.68
  4. Step 4: Simplify right side
    5,422.86x = 20,306,400.66
  5. Step 5: Solve for x
    x = 20,306,400.66/5,422.86
  6. Step 6: Final answer
    x = 3,744.59

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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.