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Finding the Fourth Proportional to 5,796.06, 8,690.84 and 1,900.14

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Solution

The fourth proportional to 5,796.06, 8,690.84 and 1,900.14 is: 2,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.06 : 8,690.84 = 1,900.14 : x
  2. Step 2: Convert to fraction form
    5,796.06/8,690.84 = 1,900.14/x
  3. Step 3: Cross multiply
    5,796.06x = 8,690.84 × 1,900.14
  4. Step 4: Simplify right side
    5,796.06x = 16,513,812.72
  5. Step 5: Solve for x
    x = 16,513,812.72/5,796.06
  6. Step 6: Final answer
    x = 2,849.14

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Why These Related Problems?

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