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Finding the Fourth Proportional to 3,523.68, 5,278.64 and 1,672.16

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Solution

The fourth proportional to 3,523.68, 5,278.64 and 1,672.16 is: 2,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.68 : 5,278.64 = 1,672.16 : x
  2. Step 2: Convert to fraction form
    3,523.68/5,278.64 = 1,672.16/x
  3. Step 3: Cross multiply
    3,523.68x = 5,278.64 × 1,672.16
  4. Step 4: Simplify right side
    3,523.68x = 8,826,730.66
  5. Step 5: Solve for x
    x = 8,826,730.66/3,523.68
  6. Step 6: Final answer
    x = 2,504.98

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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.