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Finding the Fourth Proportional to 5,709.42, 8,564.31 and 1,549.42

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Solution

The fourth proportional to 5,709.42, 8,564.31 and 1,549.42 is: 2,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.42 : 8,564.31 = 1,549.42 : x
  2. Step 2: Convert to fraction form
    5,709.42/8,564.31 = 1,549.42/x
  3. Step 3: Cross multiply
    5,709.42x = 8,564.31 × 1,549.42
  4. Step 4: Simplify right side
    5,709.42x = 13,269,713.20
  5. Step 5: Solve for x
    x = 13,269,713.20/5,709.42
  6. Step 6: Final answer
    x = 2,324.18

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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.