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Finding the Fourth Proportional to 4,164.32, 6,248.21 and 1,823.12

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Solution

The fourth proportional to 4,164.32, 6,248.21 and 1,823.12 is: 2,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.32 : 6,248.21 = 1,823.12 : x
  2. Step 2: Convert to fraction form
    4,164.32/6,248.21 = 1,823.12/x
  3. Step 3: Cross multiply
    4,164.32x = 6,248.21 × 1,823.12
  4. Step 4: Simplify right side
    4,164.32x = 11,391,229.94
  5. Step 5: Solve for x
    x = 11,391,229.94/4,164.32
  6. Step 6: Final answer
    x = 2,735.44

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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.