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Finding the Fourth Proportional to 5,293.22, 7,966.42 and 3,983.76

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Solution

The fourth proportional to 5,293.22, 7,966.42 and 3,983.76 is: 5,995.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.22 : 7,966.42 = 3,983.76 : x
  2. Step 2: Convert to fraction form
    5,293.22/7,966.42 = 3,983.76/x
  3. Step 3: Cross multiply
    5,293.22x = 7,966.42 × 3,983.76
  4. Step 4: Simplify right side
    5,293.22x = 31,736,305.34
  5. Step 5: Solve for x
    x = 31,736,305.34/5,293.22
  6. Step 6: Final answer
    x = 5,995.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.