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Finding the Fourth Proportional to 3,709.76, 5,564.64 and 2,180.48

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Solution

The fourth proportional to 3,709.76, 5,564.64 and 2,180.48 is: 3,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.76 : 5,564.64 = 2,180.48 : x
  2. Step 2: Convert to fraction form
    3,709.76/5,564.64 = 2,180.48/x
  3. Step 3: Cross multiply
    3,709.76x = 5,564.64 × 2,180.48
  4. Step 4: Simplify right side
    3,709.76x = 12,133,586.23
  5. Step 5: Solve for x
    x = 12,133,586.23/3,709.76
  6. Step 6: Final answer
    x = 3,270.72

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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.