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Finding the Fourth Proportional to 3,664.50, 5,498.43 and 2,678.19

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Solution

The fourth proportional to 3,664.50, 5,498.43 and 2,678.19 is: 4,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.50 : 5,498.43 = 2,678.19 : x
  2. Step 2: Convert to fraction form
    3,664.50/5,498.43 = 2,678.19/x
  3. Step 3: Cross multiply
    3,664.50x = 5,498.43 × 2,678.19
  4. Step 4: Simplify right side
    3,664.50x = 14,725,840.24
  5. Step 5: Solve for x
    x = 14,725,840.24/3,664.50
  6. Step 6: Final answer
    x = 4,018.51

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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.