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Finding the Fourth Proportional to 5,201.62, 7,173.56 and 3,435

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Solution

The fourth proportional to 5,201.62, 7,173.56 and 3,435 is: 4,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.62 : 7,173.56 = 3,435 : x
  2. Step 2: Convert to fraction form
    5,201.62/7,173.56 = 3,435/x
  3. Step 3: Cross multiply
    5,201.62x = 7,173.56 × 3,435
  4. Step 4: Simplify right side
    5,201.62x = 24,641,178.60
  5. Step 5: Solve for x
    x = 24,641,178.60/5,201.62
  6. Step 6: Final answer
    x = 4,737.21

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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.