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Finding the Fourth Proportional to 5,064.80, 7,600.14 and 2,142.92

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Solution

The fourth proportional to 5,064.80, 7,600.14 and 2,142.92 is: 3,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.80 : 7,600.14 = 2,142.92 : x
  2. Step 2: Convert to fraction form
    5,064.80/7,600.14 = 2,142.92/x
  3. Step 3: Cross multiply
    5,064.80x = 7,600.14 × 2,142.92
  4. Step 4: Simplify right side
    5,064.80x = 16,286,492.01
  5. Step 5: Solve for x
    x = 16,286,492.01/5,064.80
  6. Step 6: Final answer
    x = 3,215.62

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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.