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Finding the Fourth Proportional to 3,526.71, 4,865.74 and 2,034.43

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Solution

The fourth proportional to 3,526.71, 4,865.74 and 2,034.43 is: 2,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.71 : 4,865.74 = 2,034.43 : x
  2. Step 2: Convert to fraction form
    3,526.71/4,865.74 = 2,034.43/x
  3. Step 3: Cross multiply
    3,526.71x = 4,865.74 × 2,034.43
  4. Step 4: Simplify right side
    3,526.71x = 9,899,007.43
  5. Step 5: Solve for x
    x = 9,899,007.43/3,526.71
  6. Step 6: Final answer
    x = 2,806.87

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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.