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Finding the Fourth Proportional to 3,669.69, 5,474.78 and 3,368.64

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Solution

The fourth proportional to 3,669.69, 5,474.78 and 3,368.64 is: 5,025.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.69 : 5,474.78 = 3,368.64 : x
  2. Step 2: Convert to fraction form
    3,669.69/5,474.78 = 3,368.64/x
  3. Step 3: Cross multiply
    3,669.69x = 5,474.78 × 3,368.64
  4. Step 4: Simplify right side
    3,669.69x = 18,442,562.90
  5. Step 5: Solve for x
    x = 18,442,562.90/3,669.69
  6. Step 6: Final answer
    x = 5,025.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.