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Finding the Fourth Proportional to 4,514.68, 6,739.31 and 3,902.32

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Solution

The fourth proportional to 4,514.68, 6,739.31 and 3,902.32 is: 5,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.68 : 6,739.31 = 3,902.32 : x
  2. Step 2: Convert to fraction form
    4,514.68/6,739.31 = 3,902.32/x
  3. Step 3: Cross multiply
    4,514.68x = 6,739.31 × 3,902.32
  4. Step 4: Simplify right side
    4,514.68x = 26,298,944.20
  5. Step 5: Solve for x
    x = 26,298,944.20/4,514.68
  6. Step 6: Final answer
    x = 5,825.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.