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Finding the Fourth Proportional to 3,684.24, 5,529.24 and 2,041.92

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Solution

The fourth proportional to 3,684.24, 5,529.24 and 2,041.92 is: 3,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.24 : 5,529.24 = 2,041.92 : x
  2. Step 2: Convert to fraction form
    3,684.24/5,529.24 = 2,041.92/x
  3. Step 3: Cross multiply
    3,684.24x = 5,529.24 × 2,041.92
  4. Step 4: Simplify right side
    3,684.24x = 11,290,265.74
  5. Step 5: Solve for x
    x = 11,290,265.74/3,684.24
  6. Step 6: Final answer
    x = 3,064.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.