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Finding the Fourth Proportional to 4,765, 6,575.70 and 3,109

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Solution

The fourth proportional to 4,765, 6,575.70 and 3,109 is: 4,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765 : 6,575.70 = 3,109 : x
  2. Step 2: Convert to fraction form
    4,765/6,575.70 = 3,109/x
  3. Step 3: Cross multiply
    4,765x = 6,575.70 × 3,109
  4. Step 4: Simplify right side
    4,765x = 20,443,851.30
  5. Step 5: Solve for x
    x = 20,443,851.30/4,765
  6. Step 6: Final answer
    x = 4,290.42

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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.