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Finding the Fourth Proportional to 4,342.92, 6,514.21 and 3,022.86

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Solution

The fourth proportional to 4,342.92, 6,514.21 and 3,022.86 is: 4,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.92 : 6,514.21 = 3,022.86 : x
  2. Step 2: Convert to fraction form
    4,342.92/6,514.21 = 3,022.86/x
  3. Step 3: Cross multiply
    4,342.92x = 6,514.21 × 3,022.86
  4. Step 4: Simplify right side
    4,342.92x = 19,691,561.13
  5. Step 5: Solve for x
    x = 19,691,561.13/4,342.92
  6. Step 6: Final answer
    x = 4,534.17

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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.