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Finding the Fourth Proportional to 3,382.95, 5,072.90 and 1,533.99

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Solution

The fourth proportional to 3,382.95, 5,072.90 and 1,533.99 is: 2,300.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.95 : 5,072.90 = 1,533.99 : x
  2. Step 2: Convert to fraction form
    3,382.95/5,072.90 = 1,533.99/x
  3. Step 3: Cross multiply
    3,382.95x = 5,072.90 × 1,533.99
  4. Step 4: Simplify right side
    3,382.95x = 7,781,770.20
  5. Step 5: Solve for x
    x = 7,781,770.20/3,382.95
  6. Step 6: Final answer
    x = 2,300.29

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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.