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Finding the Fourth Proportional to 4,597.53, 6,896.73 and 1,311.09

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Solution

The fourth proportional to 4,597.53, 6,896.73 and 1,311.09 is: 1,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.53 : 6,896.73 = 1,311.09 : x
  2. Step 2: Convert to fraction form
    4,597.53/6,896.73 = 1,311.09/x
  3. Step 3: Cross multiply
    4,597.53x = 6,896.73 × 1,311.09
  4. Step 4: Simplify right side
    4,597.53x = 9,042,233.74
  5. Step 5: Solve for x
    x = 9,042,233.74/4,597.53
  6. Step 6: Final answer
    x = 1,966.76

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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.