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Finding the Fourth Proportional to 4,196.16, 5,789.16 and 2,427.12

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Solution

The fourth proportional to 4,196.16, 5,789.16 and 2,427.12 is: 3,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.16 : 5,789.16 = 2,427.12 : x
  2. Step 2: Convert to fraction form
    4,196.16/5,789.16 = 2,427.12/x
  3. Step 3: Cross multiply
    4,196.16x = 5,789.16 × 2,427.12
  4. Step 4: Simplify right side
    4,196.16x = 14,050,986.02
  5. Step 5: Solve for x
    x = 14,050,986.02/4,196.16
  6. Step 6: Final answer
    x = 3,348.53

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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.