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Finding the Fourth Proportional to 3,484.41, 4,808.05 and 1,912.47

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Solution

The fourth proportional to 3,484.41, 4,808.05 and 1,912.47 is: 2,638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.41 : 4,808.05 = 1,912.47 : x
  2. Step 2: Convert to fraction form
    3,484.41/4,808.05 = 1,912.47/x
  3. Step 3: Cross multiply
    3,484.41x = 4,808.05 × 1,912.47
  4. Step 4: Simplify right side
    3,484.41x = 9,195,251.38
  5. Step 5: Solve for x
    x = 9,195,251.38/3,484.41
  6. Step 6: Final answer
    x = 2,638.97

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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.