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Finding the Fourth Proportional to 4,867.92, 6,719.22 and 3,296

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Solution

The fourth proportional to 4,867.92, 6,719.22 and 3,296 is: 4,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.92 : 6,719.22 = 3,296 : x
  2. Step 2: Convert to fraction form
    4,867.92/6,719.22 = 3,296/x
  3. Step 3: Cross multiply
    4,867.92x = 6,719.22 × 3,296
  4. Step 4: Simplify right side
    4,867.92x = 22,146,549.12
  5. Step 5: Solve for x
    x = 22,146,549.12/4,867.92
  6. Step 6: Final answer
    x = 4,549.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.