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Finding the Fourth Proportional to 3,839.46, 5,298.06 and 2,347.74

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Solution

The fourth proportional to 3,839.46, 5,298.06 and 2,347.74 is: 3,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.46 : 5,298.06 = 2,347.74 : x
  2. Step 2: Convert to fraction form
    3,839.46/5,298.06 = 2,347.74/x
  3. Step 3: Cross multiply
    3,839.46x = 5,298.06 × 2,347.74
  4. Step 4: Simplify right side
    3,839.46x = 12,438,467.38
  5. Step 5: Solve for x
    x = 12,438,467.38/3,839.46
  6. Step 6: Final answer
    x = 3,239.64

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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.