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Finding the Fourth Proportional to 5,546.19, 7,651.91 and 3,658.71

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Solution

The fourth proportional to 5,546.19, 7,651.91 and 3,658.71 is: 5,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.19 : 7,651.91 = 3,658.71 : x
  2. Step 2: Convert to fraction form
    5,546.19/7,651.91 = 3,658.71/x
  3. Step 3: Cross multiply
    5,546.19x = 7,651.91 × 3,658.71
  4. Step 4: Simplify right side
    5,546.19x = 27,996,119.64
  5. Step 5: Solve for x
    x = 27,996,119.64/5,546.19
  6. Step 6: Final answer
    x = 5,047.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.