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Finding the Fourth Proportional to 4,905.24, 7,349.74 and 3,424.92

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Solution

The fourth proportional to 4,905.24, 7,349.74 and 3,424.92 is: 5,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.24 : 7,349.74 = 3,424.92 : x
  2. Step 2: Convert to fraction form
    4,905.24/7,349.74 = 3,424.92/x
  3. Step 3: Cross multiply
    4,905.24x = 7,349.74 × 3,424.92
  4. Step 4: Simplify right side
    4,905.24x = 25,172,271.52
  5. Step 5: Solve for x
    x = 25,172,271.52/4,905.24
  6. Step 6: Final answer
    x = 5,131.71

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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.