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Finding the Fourth Proportional to 5,384.52, 7,427.43 and 3,285

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Solution

The fourth proportional to 5,384.52, 7,427.43 and 3,285 is: 4,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.52 : 7,427.43 = 3,285 : x
  2. Step 2: Convert to fraction form
    5,384.52/7,427.43 = 3,285/x
  3. Step 3: Cross multiply
    5,384.52x = 7,427.43 × 3,285
  4. Step 4: Simplify right side
    5,384.52x = 24,399,107.55
  5. Step 5: Solve for x
    x = 24,399,107.55/5,384.52
  6. Step 6: Final answer
    x = 4,531.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.