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Finding the Fourth Proportional to 5,664.38, 8,497.80 and 2,201.63

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Solution

The fourth proportional to 5,664.38, 8,497.80 and 2,201.63 is: 3,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.38 : 8,497.80 = 2,201.63 : x
  2. Step 2: Convert to fraction form
    5,664.38/8,497.80 = 2,201.63/x
  3. Step 3: Cross multiply
    5,664.38x = 8,497.80 × 2,201.63
  4. Step 4: Simplify right side
    5,664.38x = 18,708,968.93
  5. Step 5: Solve for x
    x = 18,708,968.93/5,664.38
  6. Step 6: Final answer
    x = 3,302.92

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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.