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Finding the Fourth Proportional to 3,695.06, 5,098.29 and 2,296.82

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Solution

The fourth proportional to 3,695.06, 5,098.29 and 2,296.82 is: 3,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.06 : 5,098.29 = 2,296.82 : x
  2. Step 2: Convert to fraction form
    3,695.06/5,098.29 = 2,296.82/x
  3. Step 3: Cross multiply
    3,695.06x = 5,098.29 × 2,296.82
  4. Step 4: Simplify right side
    3,695.06x = 11,709,854.44
  5. Step 5: Solve for x
    x = 11,709,854.44/3,695.06
  6. Step 6: Final answer
    x = 3,169.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.