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Finding the Fourth Proportional to 5,709.56, 8,564.50 and 1,549.54

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Solution

The fourth proportional to 5,709.56, 8,564.50 and 1,549.54 is: 2,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.56 : 8,564.50 = 1,549.54 : x
  2. Step 2: Convert to fraction form
    5,709.56/8,564.50 = 1,549.54/x
  3. Step 3: Cross multiply
    5,709.56x = 8,564.50 × 1,549.54
  4. Step 4: Simplify right side
    5,709.56x = 13,271,047.97
  5. Step 5: Solve for x
    x = 13,271,047.97/5,709.56
  6. Step 6: Final answer
    x = 2,324.36

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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.