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Finding the Fourth Proportional to 5,690.70, 7,853.14 and 3,172.80

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Solution

The fourth proportional to 5,690.70, 7,853.14 and 3,172.80 is: 4,378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.70 : 7,853.14 = 3,172.80 : x
  2. Step 2: Convert to fraction form
    5,690.70/7,853.14 = 3,172.80/x
  3. Step 3: Cross multiply
    5,690.70x = 7,853.14 × 3,172.80
  4. Step 4: Simplify right side
    5,690.70x = 24,916,442.59
  5. Step 5: Solve for x
    x = 24,916,442.59/5,690.70
  6. Step 6: Final answer
    x = 4,378.45

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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.