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Finding the Fourth Proportional to 3,253.47, 4,880.21 and 1,523.31

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Solution

The fourth proportional to 3,253.47, 4,880.21 and 1,523.31 is: 2,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.47 : 4,880.21 = 1,523.31 : x
  2. Step 2: Convert to fraction form
    3,253.47/4,880.21 = 1,523.31/x
  3. Step 3: Cross multiply
    3,253.47x = 4,880.21 × 1,523.31
  4. Step 4: Simplify right side
    3,253.47x = 7,434,065.08
  5. Step 5: Solve for x
    x = 7,434,065.08/3,253.47
  6. Step 6: Final answer
    x = 2,284.97

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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.