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Finding the Fourth Proportional to 5,709.25, 8,564.25 and 2,200.93

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Solution

The fourth proportional to 5,709.25, 8,564.25 and 2,200.93 is: 3,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.25 : 8,564.25 = 2,200.93 : x
  2. Step 2: Convert to fraction form
    5,709.25/8,564.25 = 2,200.93/x
  3. Step 3: Cross multiply
    5,709.25x = 8,564.25 × 2,200.93
  4. Step 4: Simplify right side
    5,709.25x = 18,849,314.75
  5. Step 5: Solve for x
    x = 18,849,314.75/5,709.25
  6. Step 6: Final answer
    x = 3,301.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.