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Finding the Fourth Proportional to 5,206.99, 7,185.83 and 2,849.13

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Solution

The fourth proportional to 5,206.99, 7,185.83 and 2,849.13 is: 3,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.99 : 7,185.83 = 2,849.13 : x
  2. Step 2: Convert to fraction form
    5,206.99/7,185.83 = 2,849.13/x
  3. Step 3: Cross multiply
    5,206.99x = 7,185.83 × 2,849.13
  4. Step 4: Simplify right side
    5,206.99x = 20,473,363.83
  5. Step 5: Solve for x
    x = 20,473,363.83/5,206.99
  6. Step 6: Final answer
    x = 3,931.90

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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.