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Finding the Fourth Proportional to 3,286.07, 4,924.95 and 1,436.69

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Solution

The fourth proportional to 3,286.07, 4,924.95 and 1,436.69 is: 2,153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.07 : 4,924.95 = 1,436.69 : x
  2. Step 2: Convert to fraction form
    3,286.07/4,924.95 = 1,436.69/x
  3. Step 3: Cross multiply
    3,286.07x = 4,924.95 × 1,436.69
  4. Step 4: Simplify right side
    3,286.07x = 7,075,626.42
  5. Step 5: Solve for x
    x = 7,075,626.42/3,286.07
  6. Step 6: Final answer
    x = 2,153.22

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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.