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Finding the Fourth Proportional to 5,715.92, 8,576.63 and 2,019.89

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Solution

The fourth proportional to 5,715.92, 8,576.63 and 2,019.89 is: 3,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.92 : 8,576.63 = 2,019.89 : x
  2. Step 2: Convert to fraction form
    5,715.92/8,576.63 = 2,019.89/x
  3. Step 3: Cross multiply
    5,715.92x = 8,576.63 × 2,019.89
  4. Step 4: Simplify right side
    5,715.92x = 17,323,831.21
  5. Step 5: Solve for x
    x = 17,323,831.21/5,715.92
  6. Step 6: Final answer
    x = 3,030.81

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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.