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Finding the Fourth Proportional to 4,624.36, 6,382.38 and 4,343.20

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Solution

The fourth proportional to 4,624.36, 6,382.38 and 4,343.20 is: 5,994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.36 : 6,382.38 = 4,343.20 : x
  2. Step 2: Convert to fraction form
    4,624.36/6,382.38 = 4,343.20/x
  3. Step 3: Cross multiply
    4,624.36x = 6,382.38 × 4,343.20
  4. Step 4: Simplify right side
    4,624.36x = 27,719,952.82
  5. Step 5: Solve for x
    x = 27,719,952.82/4,624.36
  6. Step 6: Final answer
    x = 5,994.33

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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.