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Finding the Fourth Proportional to 6,234.11, 8,602.58 and 3,581

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Solution

The fourth proportional to 6,234.11, 8,602.58 and 3,581 is: 4,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.11 : 8,602.58 = 3,581 : x
  2. Step 2: Convert to fraction form
    6,234.11/8,602.58 = 3,581/x
  3. Step 3: Cross multiply
    6,234.11x = 8,602.58 × 3,581
  4. Step 4: Simplify right side
    6,234.11x = 30,805,838.98
  5. Step 5: Solve for x
    x = 30,805,838.98/6,234.11
  6. Step 6: Final answer
    x = 4,941.50

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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.