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Finding the Fourth Proportional to 3,476.49, 5,216.42 and 1,528.44

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Solution

The fourth proportional to 3,476.49, 5,216.42 and 1,528.44 is: 2,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.49 : 5,216.42 = 1,528.44 : x
  2. Step 2: Convert to fraction form
    3,476.49/5,216.42 = 1,528.44/x
  3. Step 3: Cross multiply
    3,476.49x = 5,216.42 × 1,528.44
  4. Step 4: Simplify right side
    3,476.49x = 7,972,984.98
  5. Step 5: Solve for x
    x = 7,972,984.98/3,476.49
  6. Step 6: Final answer
    x = 2,293.40

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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.