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Finding the Fourth Proportional to 5,120.70, 7,682.14 and 1,660.38

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Solution

The fourth proportional to 5,120.70, 7,682.14 and 1,660.38 is: 2,490.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.70 : 7,682.14 = 1,660.38 : x
  2. Step 2: Convert to fraction form
    5,120.70/7,682.14 = 1,660.38/x
  3. Step 3: Cross multiply
    5,120.70x = 7,682.14 × 1,660.38
  4. Step 4: Simplify right side
    5,120.70x = 12,755,271.61
  5. Step 5: Solve for x
    x = 12,755,271.61/5,120.70
  6. Step 6: Final answer
    x = 2,490.92

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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.