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Finding the Fourth Proportional to 3,699.66, 5,549.13 and 2,664.48

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Solution

The fourth proportional to 3,699.66, 5,549.13 and 2,664.48 is: 3,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.66 : 5,549.13 = 2,664.48 : x
  2. Step 2: Convert to fraction form
    3,699.66/5,549.13 = 2,664.48/x
  3. Step 3: Cross multiply
    3,699.66x = 5,549.13 × 2,664.48
  4. Step 4: Simplify right side
    3,699.66x = 14,785,545.90
  5. Step 5: Solve for x
    x = 14,785,545.90/3,699.66
  6. Step 6: Final answer
    x = 3,996.46

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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.