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Finding the Fourth Proportional to 3,382.88, 5,071.89 and 1,533.05

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Solution

The fourth proportional to 3,382.88, 5,071.89 and 1,533.05 is: 2,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.88 : 5,071.89 = 1,533.05 : x
  2. Step 2: Convert to fraction form
    3,382.88/5,071.89 = 1,533.05/x
  3. Step 3: Cross multiply
    3,382.88x = 5,071.89 × 1,533.05
  4. Step 4: Simplify right side
    3,382.88x = 7,775,435.61
  5. Step 5: Solve for x
    x = 7,775,435.61/3,382.88
  6. Step 6: Final answer
    x = 2,298.47

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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.