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Finding the Fourth Proportional to 5,667.24, 7,820.02 and 3,149.16

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Solution

The fourth proportional to 5,667.24, 7,820.02 and 3,149.16 is: 4,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.24 : 7,820.02 = 3,149.16 : x
  2. Step 2: Convert to fraction form
    5,667.24/7,820.02 = 3,149.16/x
  3. Step 3: Cross multiply
    5,667.24x = 7,820.02 × 3,149.16
  4. Step 4: Simplify right side
    5,667.24x = 24,626,494.18
  5. Step 5: Solve for x
    x = 24,626,494.18/5,667.24
  6. Step 6: Final answer
    x = 4,345.41

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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.