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Finding the Fourth Proportional to 5,667.57, 7,820.04 and 3,308.65

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Solution

The fourth proportional to 5,667.57, 7,820.04 and 3,308.65 is: 4,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.57 : 7,820.04 = 3,308.65 : x
  2. Step 2: Convert to fraction form
    5,667.57/7,820.04 = 3,308.65/x
  3. Step 3: Cross multiply
    5,667.57x = 7,820.04 × 3,308.65
  4. Step 4: Simplify right side
    5,667.57x = 25,873,768.20
  5. Step 5: Solve for x
    x = 25,873,768.20/5,667.57
  6. Step 6: Final answer
    x = 4,565.23

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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.