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Finding the Fourth Proportional to 5,193.62, 7,164.70 and 3,775.11

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Solution

The fourth proportional to 5,193.62, 7,164.70 and 3,775.11 is: 5,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.62 : 7,164.70 = 3,775.11 : x
  2. Step 2: Convert to fraction form
    5,193.62/7,164.70 = 3,775.11/x
  3. Step 3: Cross multiply
    5,193.62x = 7,164.70 × 3,775.11
  4. Step 4: Simplify right side
    5,193.62x = 27,047,515.55
  5. Step 5: Solve for x
    x = 27,047,515.55/5,193.62
  6. Step 6: Final answer
    x = 5,207.84

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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.