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Finding the Fourth Proportional to 6,422.40, 8,863.92 and 4,653.36

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Solution

The fourth proportional to 6,422.40, 8,863.92 and 4,653.36 is: 6,422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.40 : 8,863.92 = 4,653.36 : x
  2. Step 2: Convert to fraction form
    6,422.40/8,863.92 = 4,653.36/x
  3. Step 3: Cross multiply
    6,422.40x = 8,863.92 × 4,653.36
  4. Step 4: Simplify right side
    6,422.40x = 41,247,010.77
  5. Step 5: Solve for x
    x = 41,247,010.77/6,422.40
  6. Step 6: Final answer
    x = 6,422.37

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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.