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Finding the Fourth Proportional to 4,175.35, 6,258.16 and 4,129.18

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Solution

The fourth proportional to 4,175.35, 6,258.16 and 4,129.18 is: 6,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.35 : 6,258.16 = 4,129.18 : x
  2. Step 2: Convert to fraction form
    4,175.35/6,258.16 = 4,129.18/x
  3. Step 3: Cross multiply
    4,175.35x = 6,258.16 × 4,129.18
  4. Step 4: Simplify right side
    4,175.35x = 25,841,058.62
  5. Step 5: Solve for x
    x = 25,841,058.62/4,175.35
  6. Step 6: Final answer
    x = 6,188.96

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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.