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Finding the Fourth Proportional to 5,138.89, 7,708.34 and 3,970.60

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Solution

The fourth proportional to 5,138.89, 7,708.34 and 3,970.60 is: 5,955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.89 : 7,708.34 = 3,970.60 : x
  2. Step 2: Convert to fraction form
    5,138.89/7,708.34 = 3,970.60/x
  3. Step 3: Cross multiply
    5,138.89x = 7,708.34 × 3,970.60
  4. Step 4: Simplify right side
    5,138.89x = 30,606,734.80
  5. Step 5: Solve for x
    x = 30,606,734.80/5,138.89
  6. Step 6: Final answer
    x = 5,955.90

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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.