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Finding the Fourth Proportional to 3,364.70, 5,043.66 and 1,284.16

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Solution

The fourth proportional to 3,364.70, 5,043.66 and 1,284.16 is: 1,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.70 : 5,043.66 = 1,284.16 : x
  2. Step 2: Convert to fraction form
    3,364.70/5,043.66 = 1,284.16/x
  3. Step 3: Cross multiply
    3,364.70x = 5,043.66 × 1,284.16
  4. Step 4: Simplify right side
    3,364.70x = 6,476,866.43
  5. Step 5: Solve for x
    x = 6,476,866.43/3,364.70
  6. Step 6: Final answer
    x = 1,924.95

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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.