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Finding the Fourth Proportional to 3,646.58, 5,469.86 and 1,696.50

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Solution

The fourth proportional to 3,646.58, 5,469.86 and 1,696.50 is: 2,544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.58 : 5,469.86 = 1,696.50 : x
  2. Step 2: Convert to fraction form
    3,646.58/5,469.86 = 1,696.50/x
  3. Step 3: Cross multiply
    3,646.58x = 5,469.86 × 1,696.50
  4. Step 4: Simplify right side
    3,646.58x = 9,279,617.49
  5. Step 5: Solve for x
    x = 9,279,617.49/3,646.58
  6. Step 6: Final answer
    x = 2,544.75

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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.