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Finding the Fourth Proportional to 3,531.48, 5,297.25 and 1,066.32

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Solution

The fourth proportional to 3,531.48, 5,297.25 and 1,066.32 is: 1,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.48 : 5,297.25 = 1,066.32 : x
  2. Step 2: Convert to fraction form
    3,531.48/5,297.25 = 1,066.32/x
  3. Step 3: Cross multiply
    3,531.48x = 5,297.25 × 1,066.32
  4. Step 4: Simplify right side
    3,531.48x = 5,648,531.80
  5. Step 5: Solve for x
    x = 5,648,531.80/3,531.48
  6. Step 6: Final answer
    x = 1,599.48

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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.