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Finding the Fourth Proportional to 5,715.96, 8,576.63 and 2,019.93

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Solution

The fourth proportional to 5,715.96, 8,576.63 and 2,019.93 is: 3,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.96 : 8,576.63 = 2,019.93 : x
  2. Step 2: Convert to fraction form
    5,715.96/8,576.63 = 2,019.93/x
  3. Step 3: Cross multiply
    5,715.96x = 8,576.63 × 2,019.93
  4. Step 4: Simplify right side
    5,715.96x = 17,324,192.24
  5. Step 5: Solve for x
    x = 17,324,192.24/5,715.96
  6. Step 6: Final answer
    x = 3,030.85

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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.