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Finding the Fourth Proportional to 6,234, 8,602.92 and 3,750

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Solution

The fourth proportional to 6,234, 8,602.92 and 3,750 is: 5,175

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234 : 8,602.92 = 3,750 : x
  2. Step 2: Convert to fraction form
    6,234/8,602.92 = 3,750/x
  3. Step 3: Cross multiply
    6,234x = 8,602.92 × 3,750
  4. Step 4: Simplify right side
    6,234x = 32,260,950
  5. Step 5: Solve for x
    x = 32,260,950/6,234
  6. Step 6: Final answer
    x = 5,175

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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.