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Finding the Fourth Proportional to 3,695.42, 5,099.14 and 2,123.22

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Solution

The fourth proportional to 3,695.42, 5,099.14 and 2,123.22 is: 2,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.42 : 5,099.14 = 2,123.22 : x
  2. Step 2: Convert to fraction form
    3,695.42/5,099.14 = 2,123.22/x
  3. Step 3: Cross multiply
    3,695.42x = 5,099.14 × 2,123.22
  4. Step 4: Simplify right side
    3,695.42x = 10,826,596.03
  5. Step 5: Solve for x
    x = 10,826,596.03/3,695.42
  6. Step 6: Final answer
    x = 2,929.73

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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.