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Finding the Fourth Proportional to 5,140.96, 7,714 and 2,369.59

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Solution

The fourth proportional to 5,140.96, 7,714 and 2,369.59 is: 3,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.96 : 7,714 = 2,369.59 : x
  2. Step 2: Convert to fraction form
    5,140.96/7,714 = 2,369.59/x
  3. Step 3: Cross multiply
    5,140.96x = 7,714 × 2,369.59
  4. Step 4: Simplify right side
    5,140.96x = 18,279,017.26
  5. Step 5: Solve for x
    x = 18,279,017.26/5,140.96
  6. Step 6: Final answer
    x = 3,555.56

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