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Finding the Fourth Proportional to 6,444.68, 8,896.38 and 4,351.64

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Solution

The fourth proportional to 6,444.68, 8,896.38 and 4,351.64 is: 6,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.68 : 8,896.38 = 4,351.64 : x
  2. Step 2: Convert to fraction form
    6,444.68/8,896.38 = 4,351.64/x
  3. Step 3: Cross multiply
    6,444.68x = 8,896.38 × 4,351.64
  4. Step 4: Simplify right side
    6,444.68x = 38,713,843.06
  5. Step 5: Solve for x
    x = 38,713,843.06/6,444.68
  6. Step 6: Final answer
    x = 6,007.10

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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.