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Finding the Fourth Proportional to 5,620.67, 8,428.30 and 2,656.64

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Solution

The fourth proportional to 5,620.67, 8,428.30 and 2,656.64 is: 3,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.67 : 8,428.30 = 2,656.64 : x
  2. Step 2: Convert to fraction form
    5,620.67/8,428.30 = 2,656.64/x
  3. Step 3: Cross multiply
    5,620.67x = 8,428.30 × 2,656.64
  4. Step 4: Simplify right side
    5,620.67x = 22,390,958.91
  5. Step 5: Solve for x
    x = 22,390,958.91/5,620.67
  6. Step 6: Final answer
    x = 3,983.68

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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.