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Finding the Fourth Proportional to 4,575.96, 6,313.12 and 2,896.72

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Solution

The fourth proportional to 4,575.96, 6,313.12 and 2,896.72 is: 3,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.96 : 6,313.12 = 2,896.72 : x
  2. Step 2: Convert to fraction form
    4,575.96/6,313.12 = 2,896.72/x
  3. Step 3: Cross multiply
    4,575.96x = 6,313.12 × 2,896.72
  4. Step 4: Simplify right side
    4,575.96x = 18,287,340.97
  5. Step 5: Solve for x
    x = 18,287,340.97/4,575.96
  6. Step 6: Final answer
    x = 3,996.39

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Why These Related Problems?

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