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Finding the Fourth Proportional to 4,597.31, 6,896.07 and 1,134.56

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Solution

The fourth proportional to 4,597.31, 6,896.07 and 1,134.56 is: 1,701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.31 : 6,896.07 = 1,134.56 : x
  2. Step 2: Convert to fraction form
    4,597.31/6,896.07 = 1,134.56/x
  3. Step 3: Cross multiply
    4,597.31x = 6,896.07 × 1,134.56
  4. Step 4: Simplify right side
    4,597.31x = 7,824,022.42
  5. Step 5: Solve for x
    x = 7,824,022.42/4,597.31
  6. Step 6: Final answer
    x = 1,701.87

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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.