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Finding the Fourth Proportional to 5,134.64, 7,699.50 and 2,211.75

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Solution

The fourth proportional to 5,134.64, 7,699.50 and 2,211.75 is: 3,316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.64 : 7,699.50 = 2,211.75 : x
  2. Step 2: Convert to fraction form
    5,134.64/7,699.50 = 2,211.75/x
  3. Step 3: Cross multiply
    5,134.64x = 7,699.50 × 2,211.75
  4. Step 4: Simplify right side
    5,134.64x = 17,029,369.13
  5. Step 5: Solve for x
    x = 17,029,369.13/5,134.64
  6. Step 6: Final answer
    x = 3,316.57

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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.