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Finding the Fourth Proportional to 5,797, 8,000.34 and 3,313.48

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Solution

The fourth proportional to 5,797, 8,000.34 and 3,313.48 is: 4,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797 : 8,000.34 = 3,313.48 : x
  2. Step 2: Convert to fraction form
    5,797/8,000.34 = 3,313.48/x
  3. Step 3: Cross multiply
    5,797x = 8,000.34 × 3,313.48
  4. Step 4: Simplify right side
    5,797x = 26,508,966.58
  5. Step 5: Solve for x
    x = 26,508,966.58/5,797
  6. Step 6: Final answer
    x = 4,572.88

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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.