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Finding the Fourth Proportional to 5,120.70, 7,681.05 and 2,523.30

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Solution

The fourth proportional to 5,120.70, 7,681.05 and 2,523.30 is: 3,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.70 : 7,681.05 = 2,523.30 : x
  2. Step 2: Convert to fraction form
    5,120.70/7,681.05 = 2,523.30/x
  3. Step 3: Cross multiply
    5,120.70x = 7,681.05 × 2,523.30
  4. Step 4: Simplify right side
    5,120.70x = 19,381,593.47
  5. Step 5: Solve for x
    x = 19,381,593.47/5,120.70
  6. Step 6: Final answer
    x = 3,784.95

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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.