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Finding the Fourth Proportional to 4,819.20, 7,212.60 and 4,430.40

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Solution

The fourth proportional to 4,819.20, 7,212.60 and 4,430.40 is: 6,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.20 : 7,212.60 = 4,430.40 : x
  2. Step 2: Convert to fraction form
    4,819.20/7,212.60 = 4,430.40/x
  3. Step 3: Cross multiply
    4,819.20x = 7,212.60 × 4,430.40
  4. Step 4: Simplify right side
    4,819.20x = 31,954,703.04
  5. Step 5: Solve for x
    x = 31,954,703.04/4,819.20
  6. Step 6: Final answer
    x = 6,630.71

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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.