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Finding the Fourth Proportional to 5,667.35, 8,534.99 and 5,162.33

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Solution

The fourth proportional to 5,667.35, 8,534.99 and 5,162.33 is: 7,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.35 : 8,534.99 = 5,162.33 : x
  2. Step 2: Convert to fraction form
    5,667.35/8,534.99 = 5,162.33/x
  3. Step 3: Cross multiply
    5,667.35x = 8,534.99 × 5,162.33
  4. Step 4: Simplify right side
    5,667.35x = 44,060,434.93
  5. Step 5: Solve for x
    x = 44,060,434.93/5,667.35
  6. Step 6: Final answer
    x = 7,774.43

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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.