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Finding the Fourth Proportional to 3,790.68, 5,659.49 and 3,569.55

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Solution

The fourth proportional to 3,790.68, 5,659.49 and 3,569.55 is: 5,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.68 : 5,659.49 = 3,569.55 : x
  2. Step 2: Convert to fraction form
    3,790.68/5,659.49 = 3,569.55/x
  3. Step 3: Cross multiply
    3,790.68x = 5,659.49 × 3,569.55
  4. Step 4: Simplify right side
    3,790.68x = 20,201,814.68
  5. Step 5: Solve for x
    x = 20,201,814.68/3,790.68
  6. Step 6: Final answer
    x = 5,329.34

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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.