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Finding the Fourth Proportional to 5,056.44, 7,570.50 and 3,819.96

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Solution

The fourth proportional to 5,056.44, 7,570.50 and 3,819.96 is: 5,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.44 : 7,570.50 = 3,819.96 : x
  2. Step 2: Convert to fraction form
    5,056.44/7,570.50 = 3,819.96/x
  3. Step 3: Cross multiply
    5,056.44x = 7,570.50 × 3,819.96
  4. Step 4: Simplify right side
    5,056.44x = 28,919,007.18
  5. Step 5: Solve for x
    x = 28,919,007.18/5,056.44
  6. Step 6: Final answer
    x = 5,719.24

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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.