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Finding the Fourth Proportional to 4,396.68, 6,564.89 and 3,747.08

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Solution

The fourth proportional to 4,396.68, 6,564.89 and 3,747.08 is: 5,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,396.68 : 6,564.89 = 3,747.08 : x
  2. Step 2: Convert to fraction form
    4,396.68/6,564.89 = 3,747.08/x
  3. Step 3: Cross multiply
    4,396.68x = 6,564.89 × 3,747.08
  4. Step 4: Simplify right side
    4,396.68x = 24,599,168.02
  5. Step 5: Solve for x
    x = 24,599,168.02/4,396.68
  6. Step 6: Final answer
    x = 5,594.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.