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Finding the Fourth Proportional to 4,629.65, 6,928.07 and 4,082.90

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Solution

The fourth proportional to 4,629.65, 6,928.07 and 4,082.90 is: 6,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.65 : 6,928.07 = 4,082.90 : x
  2. Step 2: Convert to fraction form
    4,629.65/6,928.07 = 4,082.90/x
  3. Step 3: Cross multiply
    4,629.65x = 6,928.07 × 4,082.90
  4. Step 4: Simplify right side
    4,629.65x = 28,286,561.95
  5. Step 5: Solve for x
    x = 28,286,561.95/4,629.65
  6. Step 6: Final answer
    x = 6,109.88

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