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Finding the Fourth Proportional to 3,496.80, 5,240.60 and 3,006.52

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Solution

The fourth proportional to 3,496.80, 5,240.60 and 3,006.52 is: 4,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.80 : 5,240.60 = 3,006.52 : x
  2. Step 2: Convert to fraction form
    3,496.80/5,240.60 = 3,006.52/x
  3. Step 3: Cross multiply
    3,496.80x = 5,240.60 × 3,006.52
  4. Step 4: Simplify right side
    3,496.80x = 15,755,968.71
  5. Step 5: Solve for x
    x = 15,755,968.71/3,496.80
  6. Step 6: Final answer
    x = 4,505.82

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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.