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Finding the Fourth Proportional to 4,115.79, 6,170.04 and 3,146.22

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Solution

The fourth proportional to 4,115.79, 6,170.04 and 3,146.22 is: 4,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.79 : 6,170.04 = 3,146.22 : x
  2. Step 2: Convert to fraction form
    4,115.79/6,170.04 = 3,146.22/x
  3. Step 3: Cross multiply
    4,115.79x = 6,170.04 × 3,146.22
  4. Step 4: Simplify right side
    4,115.79x = 19,412,303.25
  5. Step 5: Solve for x
    x = 19,412,303.25/4,115.79
  6. Step 6: Final answer
    x = 4,716.54

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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.