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Finding the Fourth Proportional to 5,709.15, 8,564.87 and 2,013.99

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Solution

The fourth proportional to 5,709.15, 8,564.87 and 2,013.99 is: 3,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.15 : 8,564.87 = 2,013.99 : x
  2. Step 2: Convert to fraction form
    5,709.15/8,564.87 = 2,013.99/x
  3. Step 3: Cross multiply
    5,709.15x = 8,564.87 × 2,013.99
  4. Step 4: Simplify right side
    5,709.15x = 17,249,573.87
  5. Step 5: Solve for x
    x = 17,249,573.87/5,709.15
  6. Step 6: Final answer
    x = 3,021.39

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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.