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Finding the Fourth Proportional to 3,812.76, 5,262.17 and 2,321.55

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Solution

The fourth proportional to 3,812.76, 5,262.17 and 2,321.55 is: 3,204.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.76 : 5,262.17 = 2,321.55 : x
  2. Step 2: Convert to fraction form
    3,812.76/5,262.17 = 2,321.55/x
  3. Step 3: Cross multiply
    3,812.76x = 5,262.17 × 2,321.55
  4. Step 4: Simplify right side
    3,812.76x = 12,216,379.16
  5. Step 5: Solve for x
    x = 12,216,379.16/3,812.76
  6. Step 6: Final answer
    x = 3,204.08

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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.