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Finding the Fourth Proportional to 3,564.99, 5,343.84 and 2,174.63

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Solution

The fourth proportional to 3,564.99, 5,343.84 and 2,174.63 is: 3,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.99 : 5,343.84 = 2,174.63 : x
  2. Step 2: Convert to fraction form
    3,564.99/5,343.84 = 2,174.63/x
  3. Step 3: Cross multiply
    3,564.99x = 5,343.84 × 2,174.63
  4. Step 4: Simplify right side
    3,564.99x = 11,620,848.06
  5. Step 5: Solve for x
    x = 11,620,848.06/3,564.99
  6. Step 6: Final answer
    x = 3,259.71

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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.