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Finding the Fourth Proportional to 3,594.09, 5,392.26 and 2,286

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Solution

The fourth proportional to 3,594.09, 5,392.26 and 2,286 is: 3,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.09 : 5,392.26 = 2,286 : x
  2. Step 2: Convert to fraction form
    3,594.09/5,392.26 = 2,286/x
  3. Step 3: Cross multiply
    3,594.09x = 5,392.26 × 2,286
  4. Step 4: Simplify right side
    3,594.09x = 12,326,706.36
  5. Step 5: Solve for x
    x = 12,326,706.36/3,594.09
  6. Step 6: Final answer
    x = 3,429.72

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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.