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Finding the Fourth Proportional to 5,709.87, 8,564.79 and 1,549.86

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Solution

The fourth proportional to 5,709.87, 8,564.79 and 1,549.86 is: 2,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.87 : 8,564.79 = 1,549.86 : x
  2. Step 2: Convert to fraction form
    5,709.87/8,564.79 = 1,549.86/x
  3. Step 3: Cross multiply
    5,709.87x = 8,564.79 × 1,549.86
  4. Step 4: Simplify right side
    5,709.87x = 13,274,225.43
  5. Step 5: Solve for x
    x = 13,274,225.43/5,709.87
  6. Step 6: Final answer
    x = 2,324.79

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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.