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Finding the Fourth Proportional to 5,188.12, 7,773.04 and 3,237.40

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Solution

The fourth proportional to 5,188.12, 7,773.04 and 3,237.40 is: 4,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.12 : 7,773.04 = 3,237.40 : x
  2. Step 2: Convert to fraction form
    5,188.12/7,773.04 = 3,237.40/x
  3. Step 3: Cross multiply
    5,188.12x = 7,773.04 × 3,237.40
  4. Step 4: Simplify right side
    5,188.12x = 25,164,439.70
  5. Step 5: Solve for x
    x = 25,164,439.70/5,188.12
  6. Step 6: Final answer
    x = 4,850.40

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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.