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Finding the Fourth Proportional to 3,462.95, 4,778.90 and 1,891.07

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Solution

The fourth proportional to 3,462.95, 4,778.90 and 1,891.07 is: 2,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.95 : 4,778.90 = 1,891.07 : x
  2. Step 2: Convert to fraction form
    3,462.95/4,778.90 = 1,891.07/x
  3. Step 3: Cross multiply
    3,462.95x = 4,778.90 × 1,891.07
  4. Step 4: Simplify right side
    3,462.95x = 9,037,201.07
  5. Step 5: Solve for x
    x = 9,037,201.07/3,462.95
  6. Step 6: Final answer
    x = 2,609.69

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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.