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Finding the Fourth Proportional to 5,206.68, 7,185.33 and 2,849.19

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Solution

The fourth proportional to 5,206.68, 7,185.33 and 2,849.19 is: 3,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.68 : 7,185.33 = 2,849.19 : x
  2. Step 2: Convert to fraction form
    5,206.68/7,185.33 = 2,849.19/x
  3. Step 3: Cross multiply
    5,206.68x = 7,185.33 × 2,849.19
  4. Step 4: Simplify right side
    5,206.68x = 20,472,370.38
  5. Step 5: Solve for x
    x = 20,472,370.38/5,206.68
  6. Step 6: Final answer
    x = 3,931.94

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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.