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Finding the Fourth Proportional to 3,670.25, 5,501.10 and 1,822.54

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Solution

The fourth proportional to 3,670.25, 5,501.10 and 1,822.54 is: 2,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.25 : 5,501.10 = 1,822.54 : x
  2. Step 2: Convert to fraction form
    3,670.25/5,501.10 = 1,822.54/x
  3. Step 3: Cross multiply
    3,670.25x = 5,501.10 × 1,822.54
  4. Step 4: Simplify right side
    3,670.25x = 10,025,938.18
  5. Step 5: Solve for x
    x = 10,025,938.18/3,670.25
  6. Step 6: Final answer
    x = 2,731.68

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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.