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Finding the Fourth Proportional to 4,548.52, 6,823.98 and 2,081.32

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Solution

The fourth proportional to 4,548.52, 6,823.98 and 2,081.32 is: 3,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.52 : 6,823.98 = 2,081.32 : x
  2. Step 2: Convert to fraction form
    4,548.52/6,823.98 = 2,081.32/x
  3. Step 3: Cross multiply
    4,548.52x = 6,823.98 × 2,081.32
  4. Step 4: Simplify right side
    4,548.52x = 14,202,886.05
  5. Step 5: Solve for x
    x = 14,202,886.05/4,548.52
  6. Step 6: Final answer
    x = 3,122.53

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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.