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Finding the Fourth Proportional to 6,496.50, 8,966.05 and 3,664.46

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Solution

The fourth proportional to 6,496.50, 8,966.05 and 3,664.46 is: 5,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.50 : 8,966.05 = 3,664.46 : x
  2. Step 2: Convert to fraction form
    6,496.50/8,966.05 = 3,664.46/x
  3. Step 3: Cross multiply
    6,496.50x = 8,966.05 × 3,664.46
  4. Step 4: Simplify right side
    6,496.50x = 32,855,677.59
  5. Step 5: Solve for x
    x = 32,855,677.59/6,496.50
  6. Step 6: Final answer
    x = 5,057.44

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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.