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Finding the Fourth Proportional to 3,564.68, 5,343.78 and 2,408

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Solution

The fourth proportional to 3,564.68, 5,343.78 and 2,408 is: 3,609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.68 : 5,343.78 = 2,408 : x
  2. Step 2: Convert to fraction form
    3,564.68/5,343.78 = 2,408/x
  3. Step 3: Cross multiply
    3,564.68x = 5,343.78 × 2,408
  4. Step 4: Simplify right side
    3,564.68x = 12,867,822.24
  5. Step 5: Solve for x
    x = 12,867,822.24/3,564.68
  6. Step 6: Final answer
    x = 3,609.81

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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.