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Finding the Fourth Proportional to 5,733.70, 7,901.79 and 4,472.75

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Solution

The fourth proportional to 5,733.70, 7,901.79 and 4,472.75 is: 6,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.70 : 7,901.79 = 4,472.75 : x
  2. Step 2: Convert to fraction form
    5,733.70/7,901.79 = 4,472.75/x
  3. Step 3: Cross multiply
    5,733.70x = 7,901.79 × 4,472.75
  4. Step 4: Simplify right side
    5,733.70x = 35,342,731.22
  5. Step 5: Solve for x
    x = 35,342,731.22/5,733.70
  6. Step 6: Final answer
    x = 6,164.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.