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Finding the Fourth Proportional to 5,206.94, 7,185.76 and 2,849.08

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Solution

The fourth proportional to 5,206.94, 7,185.76 and 2,849.08 is: 3,931.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.94 : 7,185.76 = 2,849.08 : x
  2. Step 2: Convert to fraction form
    5,206.94/7,185.76 = 2,849.08/x
  3. Step 3: Cross multiply
    5,206.94x = 7,185.76 × 2,849.08
  4. Step 4: Simplify right side
    5,206.94x = 20,472,796.54
  5. Step 5: Solve for x
    x = 20,472,796.54/5,206.94
  6. Step 6: Final answer
    x = 3,931.83

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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.