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Finding the Fourth Proportional to 4,172.66, 5,745.15 and 3,541.87

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Solution

The fourth proportional to 4,172.66, 5,745.15 and 3,541.87 is: 4,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.66 : 5,745.15 = 3,541.87 : x
  2. Step 2: Convert to fraction form
    4,172.66/5,745.15 = 3,541.87/x
  3. Step 3: Cross multiply
    4,172.66x = 5,745.15 × 3,541.87
  4. Step 4: Simplify right side
    4,172.66x = 20,348,574.43
  5. Step 5: Solve for x
    x = 20,348,574.43/4,172.66
  6. Step 6: Final answer
    x = 4,876.64

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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.