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Finding the Fourth Proportional to 3,033.74, 4,552.10 and 1,086.10

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Solution

The fourth proportional to 3,033.74, 4,552.10 and 1,086.10 is: 1,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.74 : 4,552.10 = 1,086.10 : x
  2. Step 2: Convert to fraction form
    3,033.74/4,552.10 = 1,086.10/x
  3. Step 3: Cross multiply
    3,033.74x = 4,552.10 × 1,086.10
  4. Step 4: Simplify right side
    3,033.74x = 4,944,035.81
  5. Step 5: Solve for x
    x = 4,944,035.81/3,033.74
  6. Step 6: Final answer
    x = 1,629.68

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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.