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Finding the Fourth Proportional to 3,138.70, 4,525.56 and 3,138.70

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Solution

The fourth proportional to 3,138.70, 4,525.56 and 3,138.70 is: 4,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.70 : 4,525.56 = 3,138.70 : x
  2. Step 2: Convert to fraction form
    3,138.70/4,525.56 = 3,138.70/x
  3. Step 3: Cross multiply
    3,138.70x = 4,525.56 × 3,138.70
  4. Step 4: Simplify right side
    3,138.70x = 14,204,375.17
  5. Step 5: Solve for x
    x = 14,204,375.17/3,138.70
  6. Step 6: Final answer
    x = 4,525.56

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.