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Finding the Fourth Proportional to 3,812.70, 5,261.90 and 2,320.72

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Solution

The fourth proportional to 3,812.70, 5,261.90 and 2,320.72 is: 3,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.70 : 5,261.90 = 2,320.72 : x
  2. Step 2: Convert to fraction form
    3,812.70/5,261.90 = 2,320.72/x
  3. Step 3: Cross multiply
    3,812.70x = 5,261.90 × 2,320.72
  4. Step 4: Simplify right side
    3,812.70x = 12,211,396.57
  5. Step 5: Solve for x
    x = 12,211,396.57/3,812.70
  6. Step 6: Final answer
    x = 3,202.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.