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Finding the Fourth Proportional to 3,669.94, 5,489.83 and 3,054.48

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Solution

The fourth proportional to 3,669.94, 5,489.83 and 3,054.48 is: 4,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.94 : 5,489.83 = 3,054.48 : x
  2. Step 2: Convert to fraction form
    3,669.94/5,489.83 = 3,054.48/x
  3. Step 3: Cross multiply
    3,669.94x = 5,489.83 × 3,054.48
  4. Step 4: Simplify right side
    3,669.94x = 16,768,575.94
  5. Step 5: Solve for x
    x = 16,768,575.94/3,669.94
  6. Step 6: Final answer
    x = 4,569.17

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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.