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Finding the Fourth Proportional to 5,191.60, 7,747.48 and 4,638

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Solution

The fourth proportional to 5,191.60, 7,747.48 and 4,638 is: 6,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.60 : 7,747.48 = 4,638 : x
  2. Step 2: Convert to fraction form
    5,191.60/7,747.48 = 4,638/x
  3. Step 3: Cross multiply
    5,191.60x = 7,747.48 × 4,638
  4. Step 4: Simplify right side
    5,191.60x = 35,932,812.24
  5. Step 5: Solve for x
    x = 35,932,812.24/5,191.60
  6. Step 6: Final answer
    x = 6,921.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.