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Finding the Fourth Proportional to 6,254.71, 8,631.36 and 3,422.07

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Solution

The fourth proportional to 6,254.71, 8,631.36 and 3,422.07 is: 4,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.71 : 8,631.36 = 3,422.07 : x
  2. Step 2: Convert to fraction form
    6,254.71/8,631.36 = 3,422.07/x
  3. Step 3: Cross multiply
    6,254.71x = 8,631.36 × 3,422.07
  4. Step 4: Simplify right side
    6,254.71x = 29,537,118.12
  5. Step 5: Solve for x
    x = 29,537,118.12/6,254.71
  6. Step 6: Final answer
    x = 4,722.38

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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.