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Finding the Fourth Proportional to 5,667.88, 7,820.47 and 3,308.96

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Solution

The fourth proportional to 5,667.88, 7,820.47 and 3,308.96 is: 4,565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.88 : 7,820.47 = 3,308.96 : x
  2. Step 2: Convert to fraction form
    5,667.88/7,820.47 = 3,308.96/x
  3. Step 3: Cross multiply
    5,667.88x = 7,820.47 × 3,308.96
  4. Step 4: Simplify right side
    5,667.88x = 25,877,622.41
  5. Step 5: Solve for x
    x = 25,877,622.41/5,667.88
  6. Step 6: Final answer
    x = 4,565.66

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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.