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Finding the Fourth Proportional to 5,690.65, 7,853.13 and 3,172.92

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Solution

The fourth proportional to 5,690.65, 7,853.13 and 3,172.92 is: 4,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.65 : 7,853.13 = 3,172.92 : x
  2. Step 2: Convert to fraction form
    5,690.65/7,853.13 = 3,172.92/x
  3. Step 3: Cross multiply
    5,690.65x = 7,853.13 × 3,172.92
  4. Step 4: Simplify right side
    5,690.65x = 24,917,353.24
  5. Step 5: Solve for x
    x = 24,917,353.24/5,690.65
  6. Step 6: Final answer
    x = 4,378.65

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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.