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Finding the Fourth Proportional to 3,541.81, 5,310.76 and 1,431.54

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Solution

The fourth proportional to 3,541.81, 5,310.76 and 1,431.54 is: 2,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.81 : 5,310.76 = 1,431.54 : x
  2. Step 2: Convert to fraction form
    3,541.81/5,310.76 = 1,431.54/x
  3. Step 3: Cross multiply
    3,541.81x = 5,310.76 × 1,431.54
  4. Step 4: Simplify right side
    3,541.81x = 7,602,535.24
  5. Step 5: Solve for x
    x = 7,602,535.24/3,541.81
  6. Step 6: Final answer
    x = 2,146.51

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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.