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Finding the Fourth Proportional to 4,665.66, 6,961.94 and 4,175.34

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Solution

The fourth proportional to 4,665.66, 6,961.94 and 4,175.34 is: 6,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.66 : 6,961.94 = 4,175.34 : x
  2. Step 2: Convert to fraction form
    4,665.66/6,961.94 = 4,175.34/x
  3. Step 3: Cross multiply
    4,665.66x = 6,961.94 × 4,175.34
  4. Step 4: Simplify right side
    4,665.66x = 29,068,445.68
  5. Step 5: Solve for x
    x = 29,068,445.68/4,665.66
  6. Step 6: Final answer
    x = 6,230.30

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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.