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Finding the Fourth Proportional to 3,812.66, 5,261.82 and 2,320.22

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Solution

The fourth proportional to 3,812.66, 5,261.82 and 2,320.22 is: 3,202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.66 : 5,261.82 = 2,320.22 : x
  2. Step 2: Convert to fraction form
    3,812.66/5,261.82 = 2,320.22/x
  3. Step 3: Cross multiply
    3,812.66x = 5,261.82 × 2,320.22
  4. Step 4: Simplify right side
    3,812.66x = 12,208,580.00
  5. Step 5: Solve for x
    x = 12,208,580.00/3,812.66
  6. Step 6: Final answer
    x = 3,202.12

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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.