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Finding the Fourth Proportional to 4,473.64, 6,179.17 and 3,530.80

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Solution

The fourth proportional to 4,473.64, 6,179.17 and 3,530.80 is: 4,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.64 : 6,179.17 = 3,530.80 : x
  2. Step 2: Convert to fraction form
    4,473.64/6,179.17 = 3,530.80/x
  3. Step 3: Cross multiply
    4,473.64x = 6,179.17 × 3,530.80
  4. Step 4: Simplify right side
    4,473.64x = 21,817,382.54
  5. Step 5: Solve for x
    x = 21,817,382.54/4,473.64
  6. Step 6: Final answer
    x = 4,876.88

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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.