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Finding the Fourth Proportional to 3,377.44, 5,066.88 and 1,297.27

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Solution

The fourth proportional to 3,377.44, 5,066.88 and 1,297.27 is: 1,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.44 : 5,066.88 = 1,297.27 : x
  2. Step 2: Convert to fraction form
    3,377.44/5,066.88 = 1,297.27/x
  3. Step 3: Cross multiply
    3,377.44x = 5,066.88 × 1,297.27
  4. Step 4: Simplify right side
    3,377.44x = 6,573,111.42
  5. Step 5: Solve for x
    x = 6,573,111.42/3,377.44
  6. Step 6: Final answer
    x = 1,946.18

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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.