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Finding the Fourth Proportional to 4,667.17, 7,003.19 and 2,069.50

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Solution

The fourth proportional to 4,667.17, 7,003.19 and 2,069.50 is: 3,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.17 : 7,003.19 = 2,069.50 : x
  2. Step 2: Convert to fraction form
    4,667.17/7,003.19 = 2,069.50/x
  3. Step 3: Cross multiply
    4,667.17x = 7,003.19 × 2,069.50
  4. Step 4: Simplify right side
    4,667.17x = 14,493,101.71
  5. Step 5: Solve for x
    x = 14,493,101.71/4,667.17
  6. Step 6: Final answer
    x = 3,105.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.