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Finding the Fourth Proportional to 3,550.87, 5,322.71 and 1,468.00

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Solution

The fourth proportional to 3,550.87, 5,322.71 and 1,468.00 is: 2,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,550.87 : 5,322.71 = 1,468.00 : x
  2. Step 2: Convert to fraction form
    3,550.87/5,322.71 = 1,468.00/x
  3. Step 3: Cross multiply
    3,550.87x = 5,322.71 × 1,468.00
  4. Step 4: Simplify right side
    3,550.87x = 7,813,711.67
  5. Step 5: Solve for x
    x = 7,813,711.67/3,550.87
  6. Step 6: Final answer
    x = 2,200.51

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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.