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Finding the Fourth Proportional to 3,531.74, 5,297.70 and 1,066.64

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Solution

The fourth proportional to 3,531.74, 5,297.70 and 1,066.64 is: 1,599.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.74 : 5,297.70 = 1,066.64 : x
  2. Step 2: Convert to fraction form
    3,531.74/5,297.70 = 1,066.64/x
  3. Step 3: Cross multiply
    3,531.74x = 5,297.70 × 1,066.64
  4. Step 4: Simplify right side
    3,531.74x = 5,650,738.73
  5. Step 5: Solve for x
    x = 5,650,738.73/3,531.74
  6. Step 6: Final answer
    x = 1,599.99

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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.