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Finding the Fourth Proportional to 5,732.70, 7,911.44 and 4,313.83

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Solution

The fourth proportional to 5,732.70, 7,911.44 and 4,313.83 is: 5,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.70 : 7,911.44 = 4,313.83 : x
  2. Step 2: Convert to fraction form
    5,732.70/7,911.44 = 4,313.83/x
  3. Step 3: Cross multiply
    5,732.70x = 7,911.44 × 4,313.83
  4. Step 4: Simplify right side
    5,732.70x = 34,128,627.89
  5. Step 5: Solve for x
    x = 34,128,627.89/5,732.70
  6. Step 6: Final answer
    x = 5,953.33

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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.