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Finding the Fourth Proportional to 5,934.70, 8,896.58 and 2,234.42

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Solution

The fourth proportional to 5,934.70, 8,896.58 and 2,234.42 is: 3,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.70 : 8,896.58 = 2,234.42 : x
  2. Step 2: Convert to fraction form
    5,934.70/8,896.58 = 2,234.42/x
  3. Step 3: Cross multiply
    5,934.70x = 8,896.58 × 2,234.42
  4. Step 4: Simplify right side
    5,934.70x = 19,878,696.28
  5. Step 5: Solve for x
    x = 19,878,696.28/5,934.70
  6. Step 6: Final answer
    x = 3,349.57

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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.