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Finding the Fourth Proportional to 3,665.66, 5,065.31 and 2,669.20

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Solution

The fourth proportional to 3,665.66, 5,065.31 and 2,669.20 is: 3,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.66 : 5,065.31 = 2,669.20 : x
  2. Step 2: Convert to fraction form
    3,665.66/5,065.31 = 2,669.20/x
  3. Step 3: Cross multiply
    3,665.66x = 5,065.31 × 2,669.20
  4. Step 4: Simplify right side
    3,665.66x = 13,520,319.46
  5. Step 5: Solve for x
    x = 13,520,319.46/3,665.66
  6. Step 6: Final answer
    x = 3,688.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.