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Finding the Fourth Proportional to 4,175.59, 6,226.53 and 4,138.09

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Solution

The fourth proportional to 4,175.59, 6,226.53 and 4,138.09 is: 6,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.59 : 6,226.53 = 4,138.09 : x
  2. Step 2: Convert to fraction form
    4,175.59/6,226.53 = 4,138.09/x
  3. Step 3: Cross multiply
    4,175.59x = 6,226.53 × 4,138.09
  4. Step 4: Simplify right side
    4,175.59x = 25,765,925.96
  5. Step 5: Solve for x
    x = 25,765,925.96/4,175.59
  6. Step 6: Final answer
    x = 6,170.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.