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Finding the Fourth Proportional to 4,577.92, 6,314.42 and 3,249.32

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Solution

The fourth proportional to 4,577.92, 6,314.42 and 3,249.32 is: 4,481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.92 : 6,314.42 = 3,249.32 : x
  2. Step 2: Convert to fraction form
    4,577.92/6,314.42 = 3,249.32/x
  3. Step 3: Cross multiply
    4,577.92x = 6,314.42 × 3,249.32
  4. Step 4: Simplify right side
    4,577.92x = 20,517,547.75
  5. Step 5: Solve for x
    x = 20,517,547.75/4,577.92
  6. Step 6: Final answer
    x = 4,481.85

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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.