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Finding the Fourth Proportional to 3,298, 4,947.72 and 1,246

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Solution

The fourth proportional to 3,298, 4,947.72 and 1,246 is: 1,869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298 : 4,947.72 = 1,246 : x
  2. Step 2: Convert to fraction form
    3,298/4,947.72 = 1,246/x
  3. Step 3: Cross multiply
    3,298x = 4,947.72 × 1,246
  4. Step 4: Simplify right side
    3,298x = 6,164,859.12
  5. Step 5: Solve for x
    x = 6,164,859.12/3,298
  6. Step 6: Final answer
    x = 1,869.27

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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.