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Finding the Fourth Proportional to 4,838.99, 7,259.09 and 4,174.38

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Solution

The fourth proportional to 4,838.99, 7,259.09 and 4,174.38 is: 6,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.99 : 7,259.09 = 4,174.38 : x
  2. Step 2: Convert to fraction form
    4,838.99/7,259.09 = 4,174.38/x
  3. Step 3: Cross multiply
    4,838.99x = 7,259.09 × 4,174.38
  4. Step 4: Simplify right side
    4,838.99x = 30,302,179.24
  5. Step 5: Solve for x
    x = 30,302,179.24/4,838.99
  6. Step 6: Final answer
    x = 6,262.09

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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.