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Finding the Fourth Proportional to 5,057.44, 7,586.16 and 1,594.69

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Solution

The fourth proportional to 5,057.44, 7,586.16 and 1,594.69 is: 2,392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.44 : 7,586.16 = 1,594.69 : x
  2. Step 2: Convert to fraction form
    5,057.44/7,586.16 = 1,594.69/x
  3. Step 3: Cross multiply
    5,057.44x = 7,586.16 × 1,594.69
  4. Step 4: Simplify right side
    5,057.44x = 12,097,548.54
  5. Step 5: Solve for x
    x = 12,097,548.54/5,057.44
  6. Step 6: Final answer
    x = 2,392.03

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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.