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Finding the Fourth Proportional to 3,532.74, 5,297.08 and 1,066.84

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Solution

The fourth proportional to 3,532.74, 5,297.08 and 1,066.84 is: 1,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.74 : 5,297.08 = 1,066.84 : x
  2. Step 2: Convert to fraction form
    3,532.74/5,297.08 = 1,066.84/x
  3. Step 3: Cross multiply
    3,532.74x = 5,297.08 × 1,066.84
  4. Step 4: Simplify right side
    3,532.74x = 5,651,136.83
  5. Step 5: Solve for x
    x = 5,651,136.83/3,532.74
  6. Step 6: Final answer
    x = 1,599.65

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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.