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Finding the Fourth Proportional to 3,532.71, 4,875.27 and 2,040.82

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Solution

The fourth proportional to 3,532.71, 4,875.27 and 2,040.82 is: 2,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.71 : 4,875.27 = 2,040.82 : x
  2. Step 2: Convert to fraction form
    3,532.71/4,875.27 = 2,040.82/x
  3. Step 3: Cross multiply
    3,532.71x = 4,875.27 × 2,040.82
  4. Step 4: Simplify right side
    3,532.71x = 9,949,548.52
  5. Step 5: Solve for x
    x = 9,949,548.52/3,532.71
  6. Step 6: Final answer
    x = 2,816.41

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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.