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Finding the Fourth Proportional to 3,735.97, 5,606.23 and 1,656.95

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Solution

The fourth proportional to 3,735.97, 5,606.23 and 1,656.95 is: 2,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.97 : 5,606.23 = 1,656.95 : x
  2. Step 2: Convert to fraction form
    3,735.97/5,606.23 = 1,656.95/x
  3. Step 3: Cross multiply
    3,735.97x = 5,606.23 × 1,656.95
  4. Step 4: Simplify right side
    3,735.97x = 9,289,210.62
  5. Step 5: Solve for x
    x = 9,289,210.62/3,735.97
  6. Step 6: Final answer
    x = 2,486.43

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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.