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Finding the Fourth Proportional to 5,474.78, 7,557.71 and 3,586.44

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Solution

The fourth proportional to 5,474.78, 7,557.71 and 3,586.44 is: 4,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.78 : 7,557.71 = 3,586.44 : x
  2. Step 2: Convert to fraction form
    5,474.78/7,557.71 = 3,586.44/x
  3. Step 3: Cross multiply
    5,474.78x = 7,557.71 × 3,586.44
  4. Step 4: Simplify right side
    5,474.78x = 27,105,255.52
  5. Step 5: Solve for x
    x = 27,105,255.52/5,474.78
  6. Step 6: Final answer
    x = 4,950.94

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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.