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Finding the Fourth Proportional to 5,667.42, 8,501.04 and 4,108.16

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Solution

The fourth proportional to 5,667.42, 8,501.04 and 4,108.16 is: 6,162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.42 : 8,501.04 = 4,108.16 : x
  2. Step 2: Convert to fraction form
    5,667.42/8,501.04 = 4,108.16/x
  3. Step 3: Cross multiply
    5,667.42x = 8,501.04 × 4,108.16
  4. Step 4: Simplify right side
    5,667.42x = 34,923,632.49
  5. Step 5: Solve for x
    x = 34,923,632.49/5,667.42
  6. Step 6: Final answer
    x = 6,162.17

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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.