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Finding the Fourth Proportional to 3,478.01, 4,799.72 and 1,906.10

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Solution

The fourth proportional to 3,478.01, 4,799.72 and 1,906.10 is: 2,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.01 : 4,799.72 = 1,906.10 : x
  2. Step 2: Convert to fraction form
    3,478.01/4,799.72 = 1,906.10/x
  3. Step 3: Cross multiply
    3,478.01x = 4,799.72 × 1,906.10
  4. Step 4: Simplify right side
    3,478.01x = 9,148,727.06
  5. Step 5: Solve for x
    x = 9,148,727.06/3,478.01
  6. Step 6: Final answer
    x = 2,630.45

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