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Finding the Fourth Proportional to 3,661.47, 5,489.78 and 2,362.23

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Solution

The fourth proportional to 3,661.47, 5,489.78 and 2,362.23 is: 3,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.47 : 5,489.78 = 2,362.23 : x
  2. Step 2: Convert to fraction form
    3,661.47/5,489.78 = 2,362.23/x
  3. Step 3: Cross multiply
    3,661.47x = 5,489.78 × 2,362.23
  4. Step 4: Simplify right side
    3,661.47x = 12,968,111.20
  5. Step 5: Solve for x
    x = 12,968,111.20/3,661.47
  6. Step 6: Final answer
    x = 3,541.78

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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.