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Finding the Fourth Proportional to 4,872.32, 6,719.44 and 3,822.56

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Solution

The fourth proportional to 4,872.32, 6,719.44 and 3,822.56 is: 5,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.32 : 6,719.44 = 3,822.56 : x
  2. Step 2: Convert to fraction form
    4,872.32/6,719.44 = 3,822.56/x
  3. Step 3: Cross multiply
    4,872.32x = 6,719.44 × 3,822.56
  4. Step 4: Simplify right side
    4,872.32x = 25,685,462.57
  5. Step 5: Solve for x
    x = 25,685,462.57/4,872.32
  6. Step 6: Final answer
    x = 5,271.71

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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.