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Finding the Fourth Proportional to 6,234, 8,602.68 and 3,581.52

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Solution

The fourth proportional to 6,234, 8,602.68 and 3,581.52 is: 4,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234 : 8,602.68 = 3,581.52 : x
  2. Step 2: Convert to fraction form
    6,234/8,602.68 = 3,581.52/x
  3. Step 3: Cross multiply
    6,234x = 8,602.68 × 3,581.52
  4. Step 4: Simplify right side
    6,234x = 30,810,670.47
  5. Step 5: Solve for x
    x = 30,810,670.47/6,234
  6. Step 6: Final answer
    x = 4,942.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.