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Finding the Fourth Proportional to 5,709.42, 7,877.25 and 3,719.25

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Solution

The fourth proportional to 5,709.42, 7,877.25 and 3,719.25 is: 5,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.42 : 7,877.25 = 3,719.25 : x
  2. Step 2: Convert to fraction form
    5,709.42/7,877.25 = 3,719.25/x
  3. Step 3: Cross multiply
    5,709.42x = 7,877.25 × 3,719.25
  4. Step 4: Simplify right side
    5,709.42x = 29,297,462.06
  5. Step 5: Solve for x
    x = 29,297,462.06/5,709.42
  6. Step 6: Final answer
    x = 5,131.43

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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.