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Finding the Fourth Proportional to 5,119.14, 7,679.07 and 3,475.02

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Solution

The fourth proportional to 5,119.14, 7,679.07 and 3,475.02 is: 5,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.14 : 7,679.07 = 3,475.02 : x
  2. Step 2: Convert to fraction form
    5,119.14/7,679.07 = 3,475.02/x
  3. Step 3: Cross multiply
    5,119.14x = 7,679.07 × 3,475.02
  4. Step 4: Simplify right side
    5,119.14x = 26,684,921.83
  5. Step 5: Solve for x
    x = 26,684,921.83/5,119.14
  6. Step 6: Final answer
    x = 5,212.77

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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.