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Finding the Fourth Proportional to 3,695.83, 5,099.14 and 2,367.22

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Solution

The fourth proportional to 3,695.83, 5,099.14 and 2,367.22 is: 3,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.83 : 5,099.14 = 2,367.22 : x
  2. Step 2: Convert to fraction form
    3,695.83/5,099.14 = 2,367.22/x
  3. Step 3: Cross multiply
    3,695.83x = 5,099.14 × 2,367.22
  4. Step 4: Simplify right side
    3,695.83x = 12,070,786.19
  5. Step 5: Solve for x
    x = 12,070,786.19/3,695.83
  6. Step 6: Final answer
    x = 3,266.06

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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.