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Finding the Fourth Proportional to 5,694.47, 8,544.44 and 3,097.41

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Solution

The fourth proportional to 5,694.47, 8,544.44 and 3,097.41 is: 4,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.47 : 8,544.44 = 3,097.41 : x
  2. Step 2: Convert to fraction form
    5,694.47/8,544.44 = 3,097.41/x
  3. Step 3: Cross multiply
    5,694.47x = 8,544.44 × 3,097.41
  4. Step 4: Simplify right side
    5,694.47x = 26,465,592.18
  5. Step 5: Solve for x
    x = 26,465,592.18/5,694.47
  6. Step 6: Final answer
    x = 4,647.60

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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.