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Finding the Fourth Proportional to 4,666.17, 6,998.04 and 2,200.34

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Solution

The fourth proportional to 4,666.17, 6,998.04 and 2,200.34 is: 3,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.17 : 6,998.04 = 2,200.34 : x
  2. Step 2: Convert to fraction form
    4,666.17/6,998.04 = 2,200.34/x
  3. Step 3: Cross multiply
    4,666.17x = 6,998.04 × 2,200.34
  4. Step 4: Simplify right side
    4,666.17x = 15,398,032.34
  5. Step 5: Solve for x
    x = 15,398,032.34/4,666.17
  6. Step 6: Final answer
    x = 3,299.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.