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Finding the Fourth Proportional to 4,229.79, 5,835.19 and 2,460.38

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Solution

The fourth proportional to 4,229.79, 5,835.19 and 2,460.38 is: 3,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.79 : 5,835.19 = 2,460.38 : x
  2. Step 2: Convert to fraction form
    4,229.79/5,835.19 = 2,460.38/x
  3. Step 3: Cross multiply
    4,229.79x = 5,835.19 × 2,460.38
  4. Step 4: Simplify right side
    4,229.79x = 14,356,754.06
  5. Step 5: Solve for x
    x = 14,356,754.06/4,229.79
  6. Step 6: Final answer
    x = 3,394.20

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Why These Related Problems?

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