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Finding the Fourth Proportional to 5,472.84, 7,533.90 and 4,144.44

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Solution

The fourth proportional to 5,472.84, 7,533.90 and 4,144.44 is: 5,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.84 : 7,533.90 = 4,144.44 : x
  2. Step 2: Convert to fraction form
    5,472.84/7,533.90 = 4,144.44/x
  3. Step 3: Cross multiply
    5,472.84x = 7,533.90 × 4,144.44
  4. Step 4: Simplify right side
    5,472.84x = 31,223,796.52
  5. Step 5: Solve for x
    x = 31,223,796.52/5,472.84
  6. Step 6: Final answer
    x = 5,705.23

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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.