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Finding the Fourth Proportional to 4,763, 6,575.82 and 3,109.88

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Solution

The fourth proportional to 4,763, 6,575.82 and 3,109.88 is: 4,293.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763 : 6,575.82 = 3,109.88 : x
  2. Step 2: Convert to fraction form
    4,763/6,575.82 = 3,109.88/x
  3. Step 3: Cross multiply
    4,763x = 6,575.82 × 3,109.88
  4. Step 4: Simplify right side
    4,763x = 20,450,011.10
  5. Step 5: Solve for x
    x = 20,450,011.10/4,763
  6. Step 6: Final answer
    x = 4,293.51

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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.