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Finding the Fourth Proportional to 3,398.72, 5,094 and 2,410

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Solution

The fourth proportional to 3,398.72, 5,094 and 2,410 is: 3,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.72 : 5,094 = 2,410 : x
  2. Step 2: Convert to fraction form
    3,398.72/5,094 = 2,410/x
  3. Step 3: Cross multiply
    3,398.72x = 5,094 × 2,410
  4. Step 4: Simplify right side
    3,398.72x = 12,276,540
  5. Step 5: Solve for x
    x = 12,276,540/3,398.72
  6. Step 6: Final answer
    x = 3,612.11

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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.