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Finding the Fourth Proportional to 5,709.92, 8,564.18 and 1,549.67

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Solution

The fourth proportional to 5,709.92, 8,564.18 and 1,549.67 is: 2,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.92 : 8,564.18 = 1,549.67 : x
  2. Step 2: Convert to fraction form
    5,709.92/8,564.18 = 1,549.67/x
  3. Step 3: Cross multiply
    5,709.92x = 8,564.18 × 1,549.67
  4. Step 4: Simplify right side
    5,709.92x = 13,271,652.82
  5. Step 5: Solve for x
    x = 13,271,652.82/5,709.92
  6. Step 6: Final answer
    x = 2,324.32

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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.