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Finding the Fourth Proportional to 3,596, 5,392.56 and 1,745.60

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Solution

The fourth proportional to 3,596, 5,392.56 and 1,745.60 is: 2,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596 : 5,392.56 = 1,745.60 : x
  2. Step 2: Convert to fraction form
    3,596/5,392.56 = 1,745.60/x
  3. Step 3: Cross multiply
    3,596x = 5,392.56 × 1,745.60
  4. Step 4: Simplify right side
    3,596x = 9,413,252.74
  5. Step 5: Solve for x
    x = 9,413,252.74/3,596
  6. Step 6: Final answer
    x = 2,617.70

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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.