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Finding the Fourth Proportional to 4,666.27, 6,997.35 and 2,474.49

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Solution

The fourth proportional to 4,666.27, 6,997.35 and 2,474.49 is: 3,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.27 : 6,997.35 = 2,474.49 : x
  2. Step 2: Convert to fraction form
    4,666.27/6,997.35 = 2,474.49/x
  3. Step 3: Cross multiply
    4,666.27x = 6,997.35 × 2,474.49
  4. Step 4: Simplify right side
    4,666.27x = 17,314,872.60
  5. Step 5: Solve for x
    x = 17,314,872.60/4,666.27
  6. Step 6: Final answer
    x = 3,710.65

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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.