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Finding the Fourth Proportional to 4,816.68, 6,644.82 and 4,225.44

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Solution

The fourth proportional to 4,816.68, 6,644.82 and 4,225.44 is: 5,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.68 : 6,644.82 = 4,225.44 : x
  2. Step 2: Convert to fraction form
    4,816.68/6,644.82 = 4,225.44/x
  3. Step 3: Cross multiply
    4,816.68x = 6,644.82 × 4,225.44
  4. Step 4: Simplify right side
    4,816.68x = 28,077,288.22
  5. Step 5: Solve for x
    x = 28,077,288.22/4,816.68
  6. Step 6: Final answer
    x = 5,829.18

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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.