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Finding the Fourth Proportional to 4,039.62, 5,575.17 and 2,271.22

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Solution

The fourth proportional to 4,039.62, 5,575.17 and 2,271.22 is: 3,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039.62 : 5,575.17 = 2,271.22 : x
  2. Step 2: Convert to fraction form
    4,039.62/5,575.17 = 2,271.22/x
  3. Step 3: Cross multiply
    4,039.62x = 5,575.17 × 2,271.22
  4. Step 4: Simplify right side
    4,039.62x = 12,662,437.61
  5. Step 5: Solve for x
    x = 12,662,437.61/4,039.62
  6. Step 6: Final answer
    x = 3,134.57

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