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Finding the Fourth Proportional to 4,082.95, 6,124.43 and 1,309.65

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Solution

The fourth proportional to 4,082.95, 6,124.43 and 1,309.65 is: 1,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.95 : 6,124.43 = 1,309.65 : x
  2. Step 2: Convert to fraction form
    4,082.95/6,124.43 = 1,309.65/x
  3. Step 3: Cross multiply
    4,082.95x = 6,124.43 × 1,309.65
  4. Step 4: Simplify right side
    4,082.95x = 8,020,859.75
  5. Step 5: Solve for x
    x = 8,020,859.75/4,082.95
  6. Step 6: Final answer
    x = 1,964.48

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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.