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Finding the Fourth Proportional to 4,211.75, 5,811.53 and 2,532.75

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Solution

The fourth proportional to 4,211.75, 5,811.53 and 2,532.75 is: 3,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211.75 : 5,811.53 = 2,532.75 : x
  2. Step 2: Convert to fraction form
    4,211.75/5,811.53 = 2,532.75/x
  3. Step 3: Cross multiply
    4,211.75x = 5,811.53 × 2,532.75
  4. Step 4: Simplify right side
    4,211.75x = 14,719,152.61
  5. Step 5: Solve for x
    x = 14,719,152.61/4,211.75
  6. Step 6: Final answer
    x = 3,494.78

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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.