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Finding the Fourth Proportional to 5,709.77, 8,565.66 and 2,014.14

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Solution

The fourth proportional to 5,709.77, 8,565.66 and 2,014.14 is: 3,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.77 : 8,565.66 = 2,014.14 : x
  2. Step 2: Convert to fraction form
    5,709.77/8,565.66 = 2,014.14/x
  3. Step 3: Cross multiply
    5,709.77x = 8,565.66 × 2,014.14
  4. Step 4: Simplify right side
    5,709.77x = 17,252,438.43
  5. Step 5: Solve for x
    x = 17,252,438.43/5,709.77
  6. Step 6: Final answer
    x = 3,021.57

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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.