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Finding the Fourth Proportional to 3,531.42, 5,297.99 and 1,066.09

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Solution

The fourth proportional to 3,531.42, 5,297.99 and 1,066.09 is: 1,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.42 : 5,297.99 = 1,066.09 : x
  2. Step 2: Convert to fraction form
    3,531.42/5,297.99 = 1,066.09/x
  3. Step 3: Cross multiply
    3,531.42x = 5,297.99 × 1,066.09
  4. Step 4: Simplify right side
    3,531.42x = 5,648,143.42
  5. Step 5: Solve for x
    x = 5,648,143.42/3,531.42
  6. Step 6: Final answer
    x = 1,599.40

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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.