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Finding the Fourth Proportional to 5,812.70, 8,720.08 and 2,120.10

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Solution

The fourth proportional to 5,812.70, 8,720.08 and 2,120.10 is: 3,180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.70 : 8,720.08 = 2,120.10 : x
  2. Step 2: Convert to fraction form
    5,812.70/8,720.08 = 2,120.10/x
  3. Step 3: Cross multiply
    5,812.70x = 8,720.08 × 2,120.10
  4. Step 4: Simplify right side
    5,812.70x = 18,487,441.61
  5. Step 5: Solve for x
    x = 18,487,441.61/5,812.70
  6. Step 6: Final answer
    x = 3,180.53

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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.