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Finding the Fourth Proportional to 5,138.37, 7,697.12 and 4,100.13

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Solution

The fourth proportional to 5,138.37, 7,697.12 and 4,100.13 is: 6,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.37 : 7,697.12 = 4,100.13 : x
  2. Step 2: Convert to fraction form
    5,138.37/7,697.12 = 4,100.13/x
  3. Step 3: Cross multiply
    5,138.37x = 7,697.12 × 4,100.13
  4. Step 4: Simplify right side
    5,138.37x = 31,559,172.12
  5. Step 5: Solve for x
    x = 31,559,172.12/5,138.37
  6. Step 6: Final answer
    x = 6,141.86

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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.