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Finding the Fourth Proportional to 3,658.22, 5,048.35 and 1,979.64

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Solution

The fourth proportional to 3,658.22, 5,048.35 and 1,979.64 is: 2,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.22 : 5,048.35 = 1,979.64 : x
  2. Step 2: Convert to fraction form
    3,658.22/5,048.35 = 1,979.64/x
  3. Step 3: Cross multiply
    3,658.22x = 5,048.35 × 1,979.64
  4. Step 4: Simplify right side
    3,658.22x = 9,993,945.86
  5. Step 5: Solve for x
    x = 9,993,945.86/3,658.22
  6. Step 6: Final answer
    x = 2,731.91

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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.