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Finding the Fourth Proportional to 5,667.04, 8,502.81 and 2,546.20

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Solution

The fourth proportional to 5,667.04, 8,502.81 and 2,546.20 is: 3,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.04 : 8,502.81 = 2,546.20 : x
  2. Step 2: Convert to fraction form
    5,667.04/8,502.81 = 2,546.20/x
  3. Step 3: Cross multiply
    5,667.04x = 8,502.81 × 2,546.20
  4. Step 4: Simplify right side
    5,667.04x = 21,649,854.82
  5. Step 5: Solve for x
    x = 21,649,854.82/5,667.04
  6. Step 6: Final answer
    x = 3,820.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.