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Finding the Fourth Proportional to 5,709.37, 8,565.73 and 2,199.68

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Solution

The fourth proportional to 5,709.37, 8,565.73 and 2,199.68 is: 3,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.37 : 8,565.73 = 2,199.68 : x
  2. Step 2: Convert to fraction form
    5,709.37/8,565.73 = 2,199.68/x
  3. Step 3: Cross multiply
    5,709.37x = 8,565.73 × 2,199.68
  4. Step 4: Simplify right side
    5,709.37x = 18,841,864.97
  5. Step 5: Solve for x
    x = 18,841,864.97/5,709.37
  6. Step 6: Final answer
    x = 3,300.17

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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.