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Finding the Fourth Proportional to 3,471.95, 4,793.53 and 3,098.29

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Solution

The fourth proportional to 3,471.95, 4,793.53 and 3,098.29 is: 4,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.95 : 4,793.53 = 3,098.29 : x
  2. Step 2: Convert to fraction form
    3,471.95/4,793.53 = 3,098.29/x
  3. Step 3: Cross multiply
    3,471.95x = 4,793.53 × 3,098.29
  4. Step 4: Simplify right side
    3,471.95x = 14,851,726.33
  5. Step 5: Solve for x
    x = 14,851,726.33/3,471.95
  6. Step 6: Final answer
    x = 4,277.63

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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.