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Finding the Fourth Proportional to 3,297.56, 4,946.08 and 1,217.48

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Solution

The fourth proportional to 3,297.56, 4,946.08 and 1,217.48 is: 1,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.56 : 4,946.08 = 1,217.48 : x
  2. Step 2: Convert to fraction form
    3,297.56/4,946.08 = 1,217.48/x
  3. Step 3: Cross multiply
    3,297.56x = 4,946.08 × 1,217.48
  4. Step 4: Simplify right side
    3,297.56x = 6,021,753.48
  5. Step 5: Solve for x
    x = 6,021,753.48/3,297.56
  6. Step 6: Final answer
    x = 1,826.12

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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.