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Finding the Fourth Proportional to 4,737.69, 6,530.63 and 3,797.28

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Solution

The fourth proportional to 4,737.69, 6,530.63 and 3,797.28 is: 5,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.69 : 6,530.63 = 3,797.28 : x
  2. Step 2: Convert to fraction form
    4,737.69/6,530.63 = 3,797.28/x
  3. Step 3: Cross multiply
    4,737.69x = 6,530.63 × 3,797.28
  4. Step 4: Simplify right side
    4,737.69x = 24,798,611.70
  5. Step 5: Solve for x
    x = 24,798,611.70/4,737.69
  6. Step 6: Final answer
    x = 5,234.33

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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.