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Finding the Fourth Proportional to 4,666.67, 7,002.44 and 2,069

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Solution

The fourth proportional to 4,666.67, 7,002.44 and 2,069 is: 3,104.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.67 : 7,002.44 = 2,069 : x
  2. Step 2: Convert to fraction form
    4,666.67/7,002.44 = 2,069/x
  3. Step 3: Cross multiply
    4,666.67x = 7,002.44 × 2,069
  4. Step 4: Simplify right side
    4,666.67x = 14,488,048.36
  5. Step 5: Solve for x
    x = 14,488,048.36/4,666.67
  6. Step 6: Final answer
    x = 3,104.58

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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.