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Finding the Fourth Proportional to 3,695.29, 5,099.51 and 2,369.77

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Solution

The fourth proportional to 3,695.29, 5,099.51 and 2,369.77 is: 3,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.29 : 5,099.51 = 2,369.77 : x
  2. Step 2: Convert to fraction form
    3,695.29/5,099.51 = 2,369.77/x
  3. Step 3: Cross multiply
    3,695.29x = 5,099.51 × 2,369.77
  4. Step 4: Simplify right side
    3,695.29x = 12,084,658.99
  5. Step 5: Solve for x
    x = 12,084,658.99/3,695.29
  6. Step 6: Final answer
    x = 3,270.29

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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.