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Finding the Fourth Proportional to 3,531.82, 4,866.92 and 2,533.90

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Solution

The fourth proportional to 3,531.82, 4,866.92 and 2,533.90 is: 3,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.82 : 4,866.92 = 2,533.90 : x
  2. Step 2: Convert to fraction form
    3,531.82/4,866.92 = 2,533.90/x
  3. Step 3: Cross multiply
    3,531.82x = 4,866.92 × 2,533.90
  4. Step 4: Simplify right side
    3,531.82x = 12,332,264.25
  5. Step 5: Solve for x
    x = 12,332,264.25/3,531.82
  6. Step 6: Final answer
    x = 3,491.76

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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.