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Finding the Fourth Proportional to 5,114.46, 7,666.56 and 3,267.66

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Solution

The fourth proportional to 5,114.46, 7,666.56 and 3,267.66 is: 4,898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.46 : 7,666.56 = 3,267.66 : x
  2. Step 2: Convert to fraction form
    5,114.46/7,666.56 = 3,267.66/x
  3. Step 3: Cross multiply
    5,114.46x = 7,666.56 × 3,267.66
  4. Step 4: Simplify right side
    5,114.46x = 25,051,711.45
  5. Step 5: Solve for x
    x = 25,051,711.45/5,114.46
  6. Step 6: Final answer
    x = 4,898.21

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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.