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Finding the Fourth Proportional to 6,277.64, 8,663.46 and 3,625.88

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Solution

The fourth proportional to 6,277.64, 8,663.46 and 3,625.88 is: 5,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.64 : 8,663.46 = 3,625.88 : x
  2. Step 2: Convert to fraction form
    6,277.64/8,663.46 = 3,625.88/x
  3. Step 3: Cross multiply
    6,277.64x = 8,663.46 × 3,625.88
  4. Step 4: Simplify right side
    6,277.64x = 31,412,666.34
  5. Step 5: Solve for x
    x = 31,412,666.34/6,277.64
  6. Step 6: Final answer
    x = 5,003.90

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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.