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Finding the Fourth Proportional to 3,695.92, 5,551.08 and 3,175.76

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Solution

The fourth proportional to 3,695.92, 5,551.08 and 3,175.76 is: 4,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.92 : 5,551.08 = 3,175.76 : x
  2. Step 2: Convert to fraction form
    3,695.92/5,551.08 = 3,175.76/x
  3. Step 3: Cross multiply
    3,695.92x = 5,551.08 × 3,175.76
  4. Step 4: Simplify right side
    3,695.92x = 17,628,897.82
  5. Step 5: Solve for x
    x = 17,628,897.82/3,695.92
  6. Step 6: Final answer
    x = 4,769.83

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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.