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Finding the Fourth Proportional to 4,229.74, 5,837.40 and 2,461.22

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Solution

The fourth proportional to 4,229.74, 5,837.40 and 2,461.22 is: 3,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.74 : 5,837.40 = 2,461.22 : x
  2. Step 2: Convert to fraction form
    4,229.74/5,837.40 = 2,461.22/x
  3. Step 3: Cross multiply
    4,229.74x = 5,837.40 × 2,461.22
  4. Step 4: Simplify right side
    4,229.74x = 14,367,125.63
  5. Step 5: Solve for x
    x = 14,367,125.63/4,229.74
  6. Step 6: Final answer
    x = 3,396.69

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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.