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Finding the Fourth Proportional to 4,152.52, 6,233.64 and 2,914.84

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Solution

The fourth proportional to 4,152.52, 6,233.64 and 2,914.84 is: 4,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.52 : 6,233.64 = 2,914.84 : x
  2. Step 2: Convert to fraction form
    4,152.52/6,233.64 = 2,914.84/x
  3. Step 3: Cross multiply
    4,152.52x = 6,233.64 × 2,914.84
  4. Step 4: Simplify right side
    4,152.52x = 18,170,063.22
  5. Step 5: Solve for x
    x = 18,170,063.22/4,152.52
  6. Step 6: Final answer
    x = 4,375.67

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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.