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Finding the Fourth Proportional to 6,276.88, 8,665.32 and 4,422.16

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Solution

The fourth proportional to 6,276.88, 8,665.32 and 4,422.16 is: 6,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.88 : 8,665.32 = 4,422.16 : x
  2. Step 2: Convert to fraction form
    6,276.88/8,665.32 = 4,422.16/x
  3. Step 3: Cross multiply
    6,276.88x = 8,665.32 × 4,422.16
  4. Step 4: Simplify right side
    6,276.88x = 38,319,431.49
  5. Step 5: Solve for x
    x = 38,319,431.49/6,276.88
  6. Step 6: Final answer
    x = 6,104.85

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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.