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Finding the Fourth Proportional to 4,900.46, 6,765.52 and 3,309.88

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Solution

The fourth proportional to 4,900.46, 6,765.52 and 3,309.88 is: 4,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.46 : 6,765.52 = 3,309.88 : x
  2. Step 2: Convert to fraction form
    4,900.46/6,765.52 = 3,309.88/x
  3. Step 3: Cross multiply
    4,900.46x = 6,765.52 × 3,309.88
  4. Step 4: Simplify right side
    4,900.46x = 22,393,059.34
  5. Step 5: Solve for x
    x = 22,393,059.34/4,900.46
  6. Step 6: Final answer
    x = 4,569.58

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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.