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Finding the Fourth Proportional to 5,737.94, 8,586.38 and 4,496.82

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Solution

The fourth proportional to 5,737.94, 8,586.38 and 4,496.82 is: 6,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.94 : 8,586.38 = 4,496.82 : x
  2. Step 2: Convert to fraction form
    5,737.94/8,586.38 = 4,496.82/x
  3. Step 3: Cross multiply
    5,737.94x = 8,586.38 × 4,496.82
  4. Step 4: Simplify right side
    5,737.94x = 38,611,382.83
  5. Step 5: Solve for x
    x = 38,611,382.83/5,737.94
  6. Step 6: Final answer
    x = 6,729.14

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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.