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Finding the Fourth Proportional to 4,796.24, 7,196.52 and 4,106.48

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Solution

The fourth proportional to 4,796.24, 7,196.52 and 4,106.48 is: 6,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.24 : 7,196.52 = 4,106.48 : x
  2. Step 2: Convert to fraction form
    4,796.24/7,196.52 = 4,106.48/x
  3. Step 3: Cross multiply
    4,796.24x = 7,196.52 × 4,106.48
  4. Step 4: Simplify right side
    4,796.24x = 29,552,365.45
  5. Step 5: Solve for x
    x = 29,552,365.45/4,796.24
  6. Step 6: Final answer
    x = 6,161.57

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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.