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Finding the Fourth Proportional to 5,212.34, 7,819.68 and 1,749.50

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Solution

The fourth proportional to 5,212.34, 7,819.68 and 1,749.50 is: 2,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.34 : 7,819.68 = 1,749.50 : x
  2. Step 2: Convert to fraction form
    5,212.34/7,819.68 = 1,749.50/x
  3. Step 3: Cross multiply
    5,212.34x = 7,819.68 × 1,749.50
  4. Step 4: Simplify right side
    5,212.34x = 13,680,530.16
  5. Step 5: Solve for x
    x = 13,680,530.16/5,212.34
  6. Step 6: Final answer
    x = 2,624.64

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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.