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Finding the Fourth Proportional to 5,140.34, 7,712.54 and 2,179.42

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Solution

The fourth proportional to 5,140.34, 7,712.54 and 2,179.42 is: 3,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.34 : 7,712.54 = 2,179.42 : x
  2. Step 2: Convert to fraction form
    5,140.34/7,712.54 = 2,179.42/x
  3. Step 3: Cross multiply
    5,140.34x = 7,712.54 × 2,179.42
  4. Step 4: Simplify right side
    5,140.34x = 16,808,863.93
  5. Step 5: Solve for x
    x = 16,808,863.93/5,140.34
  6. Step 6: Final answer
    x = 3,269.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.