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Finding the Fourth Proportional to 3,532.66, 4,875.24 and 2,040.78

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Solution

The fourth proportional to 3,532.66, 4,875.24 and 2,040.78 is: 2,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.66 : 4,875.24 = 2,040.78 : x
  2. Step 2: Convert to fraction form
    3,532.66/4,875.24 = 2,040.78/x
  3. Step 3: Cross multiply
    3,532.66x = 4,875.24 × 2,040.78
  4. Step 4: Simplify right side
    3,532.66x = 9,949,267.91
  5. Step 5: Solve for x
    x = 9,949,267.91/3,532.66
  6. Step 6: Final answer
    x = 2,816.37

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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.