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Finding the Fourth Proportional to 4,229.78, 5,836.10 and 2,460.33

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Solution

The fourth proportional to 4,229.78, 5,836.10 and 2,460.33 is: 3,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.78 : 5,836.10 = 2,460.33 : x
  2. Step 2: Convert to fraction form
    4,229.78/5,836.10 = 2,460.33/x
  3. Step 3: Cross multiply
    4,229.78x = 5,836.10 × 2,460.33
  4. Step 4: Simplify right side
    4,229.78x = 14,358,719.61
  5. Step 5: Solve for x
    x = 14,358,719.61/4,229.78
  6. Step 6: Final answer
    x = 3,394.68

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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.