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Finding the Fourth Proportional to 5,108.70, 7,643.85 and 4,647.90

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Solution

The fourth proportional to 5,108.70, 7,643.85 and 4,647.90 is: 6,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.70 : 7,643.85 = 4,647.90 : x
  2. Step 2: Convert to fraction form
    5,108.70/7,643.85 = 4,647.90/x
  3. Step 3: Cross multiply
    5,108.70x = 7,643.85 × 4,647.90
  4. Step 4: Simplify right side
    5,108.70x = 35,527,850.42
  5. Step 5: Solve for x
    x = 35,527,850.42/5,108.70
  6. Step 6: Final answer
    x = 6,954.38

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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.