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Finding the Fourth Proportional to 3,478, 4,799.64 and 1,906.08

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Solution

The fourth proportional to 3,478, 4,799.64 and 1,906.08 is: 2,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478 : 4,799.64 = 1,906.08 : x
  2. Step 2: Convert to fraction form
    3,478/4,799.64 = 1,906.08/x
  3. Step 3: Cross multiply
    3,478x = 4,799.64 × 1,906.08
  4. Step 4: Simplify right side
    3,478x = 9,148,497.81
  5. Step 5: Solve for x
    x = 9,148,497.81/3,478
  6. Step 6: Final answer
    x = 2,630.39

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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.