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Finding the Fourth Proportional to 4,767.36, 6,573.32 and 3,822.42

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Solution

The fourth proportional to 4,767.36, 6,573.32 and 3,822.42 is: 5,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.36 : 6,573.32 = 3,822.42 : x
  2. Step 2: Convert to fraction form
    4,767.36/6,573.32 = 3,822.42/x
  3. Step 3: Cross multiply
    4,767.36x = 6,573.32 × 3,822.42
  4. Step 4: Simplify right side
    4,767.36x = 25,125,989.83
  5. Step 5: Solve for x
    x = 25,125,989.83/4,767.36
  6. Step 6: Final answer
    x = 5,270.42

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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.