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Finding the Fourth Proportional to 5,555.34, 7,667.10 and 3,197.04

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Solution

The fourth proportional to 5,555.34, 7,667.10 and 3,197.04 is: 4,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,555.34 : 7,667.10 = 3,197.04 : x
  2. Step 2: Convert to fraction form
    5,555.34/7,667.10 = 3,197.04/x
  3. Step 3: Cross multiply
    5,555.34x = 7,667.10 × 3,197.04
  4. Step 4: Simplify right side
    5,555.34x = 24,512,025.38
  5. Step 5: Solve for x
    x = 24,512,025.38/5,555.34
  6. Step 6: Final answer
    x = 4,412.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.