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Finding the Fourth Proportional to 3,498.50, 5,246.84 and 1,649.13

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Solution

The fourth proportional to 3,498.50, 5,246.84 and 1,649.13 is: 2,473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.50 : 5,246.84 = 1,649.13 : x
  2. Step 2: Convert to fraction form
    3,498.50/5,246.84 = 1,649.13/x
  3. Step 3: Cross multiply
    3,498.50x = 5,246.84 × 1,649.13
  4. Step 4: Simplify right side
    3,498.50x = 8,652,705.70
  5. Step 5: Solve for x
    x = 8,652,705.70/3,498.50
  6. Step 6: Final answer
    x = 2,473.26

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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.