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Finding the Fourth Proportional to 3,658.96, 5,055.76 and 2,879.20

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Solution

The fourth proportional to 3,658.96, 5,055.76 and 2,879.20 is: 3,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.96 : 5,055.76 = 2,879.20 : x
  2. Step 2: Convert to fraction form
    3,658.96/5,055.76 = 2,879.20/x
  3. Step 3: Cross multiply
    3,658.96x = 5,055.76 × 2,879.20
  4. Step 4: Simplify right side
    3,658.96x = 14,556,544.19
  5. Step 5: Solve for x
    x = 14,556,544.19/3,658.96
  6. Step 6: Final answer
    x = 3,978.33

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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.