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Finding the Fourth Proportional to 3,138.60, 4,707.90 and 2,754.60

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Solution

The fourth proportional to 3,138.60, 4,707.90 and 2,754.60 is: 4,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.60 : 4,707.90 = 2,754.60 : x
  2. Step 2: Convert to fraction form
    3,138.60/4,707.90 = 2,754.60/x
  3. Step 3: Cross multiply
    3,138.60x = 4,707.90 × 2,754.60
  4. Step 4: Simplify right side
    3,138.60x = 12,968,381.34
  5. Step 5: Solve for x
    x = 12,968,381.34/3,138.60
  6. Step 6: Final answer
    x = 4,131.90

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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.