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Finding the Fourth Proportional to 5,690.71, 7,853.81 and 3,173.05

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Solution

The fourth proportional to 5,690.71, 7,853.81 and 3,173.05 is: 4,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.71 : 7,853.81 = 3,173.05 : x
  2. Step 2: Convert to fraction form
    5,690.71/7,853.81 = 3,173.05/x
  3. Step 3: Cross multiply
    5,690.71x = 7,853.81 × 3,173.05
  4. Step 4: Simplify right side
    5,690.71x = 24,920,531.82
  5. Step 5: Solve for x
    x = 24,920,531.82/5,690.71
  6. Step 6: Final answer
    x = 4,379.16

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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.