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Finding the Fourth Proportional to 3,460.06, 5,189.92 and 1,903.10

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Solution

The fourth proportional to 3,460.06, 5,189.92 and 1,903.10 is: 2,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.06 : 5,189.92 = 1,903.10 : x
  2. Step 2: Convert to fraction form
    3,460.06/5,189.92 = 1,903.10/x
  3. Step 3: Cross multiply
    3,460.06x = 5,189.92 × 1,903.10
  4. Step 4: Simplify right side
    3,460.06x = 9,876,944.97
  5. Step 5: Solve for x
    x = 9,876,944.97/3,460.06
  6. Step 6: Final answer
    x = 2,854.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.