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Finding the Fourth Proportional to 4,561.80, 6,298.72 and 4,489.16

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Solution

The fourth proportional to 4,561.80, 6,298.72 and 4,489.16 is: 6,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.80 : 6,298.72 = 4,489.16 : x
  2. Step 2: Convert to fraction form
    4,561.80/6,298.72 = 4,489.16/x
  3. Step 3: Cross multiply
    4,561.80x = 6,298.72 × 4,489.16
  4. Step 4: Simplify right side
    4,561.80x = 28,275,961.88
  5. Step 5: Solve for x
    x = 28,275,961.88/4,561.80
  6. Step 6: Final answer
    x = 6,198.42

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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.