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Finding the Fourth Proportional to 3,552.30, 5,328.45 and 3,206.70

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Solution

The fourth proportional to 3,552.30, 5,328.45 and 3,206.70 is: 4,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.30 : 5,328.45 = 3,206.70 : x
  2. Step 2: Convert to fraction form
    3,552.30/5,328.45 = 3,206.70/x
  3. Step 3: Cross multiply
    3,552.30x = 5,328.45 × 3,206.70
  4. Step 4: Simplify right side
    3,552.30x = 17,086,740.62
  5. Step 5: Solve for x
    x = 17,086,740.62/3,552.30
  6. Step 6: Final answer
    x = 4,810.05

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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.