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Finding the Fourth Proportional to 4,234.79, 5,844.74 and 2,466.38

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Solution

The fourth proportional to 4,234.79, 5,844.74 and 2,466.38 is: 3,404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.79 : 5,844.74 = 2,466.38 : x
  2. Step 2: Convert to fraction form
    4,234.79/5,844.74 = 2,466.38/x
  3. Step 3: Cross multiply
    4,234.79x = 5,844.74 × 2,466.38
  4. Step 4: Simplify right side
    4,234.79x = 14,415,308.29
  5. Step 5: Solve for x
    x = 14,415,308.29/4,234.79
  6. Step 6: Final answer
    x = 3,404.02

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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.