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Finding the Fourth Proportional to 3,682.59, 5,522.78 and 1,049.91

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Solution

The fourth proportional to 3,682.59, 5,522.78 and 1,049.91 is: 1,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.59 : 5,522.78 = 1,049.91 : x
  2. Step 2: Convert to fraction form
    3,682.59/5,522.78 = 1,049.91/x
  3. Step 3: Cross multiply
    3,682.59x = 5,522.78 × 1,049.91
  4. Step 4: Simplify right side
    3,682.59x = 5,798,434.93
  5. Step 5: Solve for x
    x = 5,798,434.93/3,682.59
  6. Step 6: Final answer
    x = 1,574.55

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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.