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Finding the Fourth Proportional to 4,838.01, 7,257.83 and 4,348.23

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Solution

The fourth proportional to 4,838.01, 7,257.83 and 4,348.23 is: 6,523.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.01 : 7,257.83 = 4,348.23 : x
  2. Step 2: Convert to fraction form
    4,838.01/7,257.83 = 4,348.23/x
  3. Step 3: Cross multiply
    4,838.01x = 7,257.83 × 4,348.23
  4. Step 4: Simplify right side
    4,838.01x = 31,558,692.40
  5. Step 5: Solve for x
    x = 31,558,692.40/4,838.01
  6. Step 6: Final answer
    x = 6,523.07

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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.