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Finding the Fourth Proportional to 5,414.98, 7,474.23 and 3,176.95

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Solution

The fourth proportional to 5,414.98, 7,474.23 and 3,176.95 is: 4,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.98 : 7,474.23 = 3,176.95 : x
  2. Step 2: Convert to fraction form
    5,414.98/7,474.23 = 3,176.95/x
  3. Step 3: Cross multiply
    5,414.98x = 7,474.23 × 3,176.95
  4. Step 4: Simplify right side
    5,414.98x = 23,745,255.00
  5. Step 5: Solve for x
    x = 23,745,255.00/5,414.98
  6. Step 6: Final answer
    x = 4,385.10

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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.