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Finding the Fourth Proportional to 4,322.43, 6,483.63 and 1,727.19

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Solution

The fourth proportional to 4,322.43, 6,483.63 and 1,727.19 is: 2,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.43 : 6,483.63 = 1,727.19 : x
  2. Step 2: Convert to fraction form
    4,322.43/6,483.63 = 1,727.19/x
  3. Step 3: Cross multiply
    4,322.43x = 6,483.63 × 1,727.19
  4. Step 4: Simplify right side
    4,322.43x = 11,198,460.90
  5. Step 5: Solve for x
    x = 11,198,460.90/4,322.43
  6. Step 6: Final answer
    x = 2,590.78

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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.