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Finding the Fourth Proportional to 3,438.30, 5,123.62 and 3,230.52

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Solution

The fourth proportional to 3,438.30, 5,123.62 and 3,230.52 is: 4,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.30 : 5,123.62 = 3,230.52 : x
  2. Step 2: Convert to fraction form
    3,438.30/5,123.62 = 3,230.52/x
  3. Step 3: Cross multiply
    3,438.30x = 5,123.62 × 3,230.52
  4. Step 4: Simplify right side
    3,438.30x = 16,551,956.88
  5. Step 5: Solve for x
    x = 16,551,956.88/3,438.30
  6. Step 6: Final answer
    x = 4,813.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.