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Finding the Fourth Proportional to 3,497.92, 5,246.89 and 3,284.08

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Solution

The fourth proportional to 3,497.92, 5,246.89 and 3,284.08 is: 4,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.92 : 5,246.89 = 3,284.08 : x
  2. Step 2: Convert to fraction form
    3,497.92/5,246.89 = 3,284.08/x
  3. Step 3: Cross multiply
    3,497.92x = 5,246.89 × 3,284.08
  4. Step 4: Simplify right side
    3,497.92x = 17,231,185.18
  5. Step 5: Solve for x
    x = 17,231,185.18/3,497.92
  6. Step 6: Final answer
    x = 4,926.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.