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Finding the Fourth Proportional to 3,695.05, 5,542.26 and 1,097.99

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Solution

The fourth proportional to 3,695.05, 5,542.26 and 1,097.99 is: 1,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.05 : 5,542.26 = 1,097.99 : x
  2. Step 2: Convert to fraction form
    3,695.05/5,542.26 = 1,097.99/x
  3. Step 3: Cross multiply
    3,695.05x = 5,542.26 × 1,097.99
  4. Step 4: Simplify right side
    3,695.05x = 6,085,346.06
  5. Step 5: Solve for x
    x = 6,085,346.06/3,695.05
  6. Step 6: Final answer
    x = 1,646.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.