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Finding the Fourth Proportional to 5,285, 7,928.58 and 2,207

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Solution

The fourth proportional to 5,285, 7,928.58 and 2,207 is: 3,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285 : 7,928.58 = 2,207 : x
  2. Step 2: Convert to fraction form
    5,285/7,928.58 = 2,207/x
  3. Step 3: Cross multiply
    5,285x = 7,928.58 × 2,207
  4. Step 4: Simplify right side
    5,285x = 17,498,376.06
  5. Step 5: Solve for x
    x = 17,498,376.06/5,285
  6. Step 6: Final answer
    x = 3,310.95

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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.