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Finding the Fourth Proportional to 6,234, 8,602.92 and 4,580.88

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Solution

The fourth proportional to 6,234, 8,602.92 and 4,580.88 is: 6,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234 : 8,602.92 = 4,580.88 : x
  2. Step 2: Convert to fraction form
    6,234/8,602.92 = 4,580.88/x
  3. Step 3: Cross multiply
    6,234x = 8,602.92 × 4,580.88
  4. Step 4: Simplify right side
    6,234x = 39,408,944.17
  5. Step 5: Solve for x
    x = 39,408,944.17/6,234
  6. Step 6: Final answer
    x = 6,321.61

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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.