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Finding the Fourth Proportional to 5,057.58, 7,586.14 and 1,771.41

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Solution

The fourth proportional to 5,057.58, 7,586.14 and 1,771.41 is: 2,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.58 : 7,586.14 = 1,771.41 : x
  2. Step 2: Convert to fraction form
    5,057.58/7,586.14 = 1,771.41/x
  3. Step 3: Cross multiply
    5,057.58x = 7,586.14 × 1,771.41
  4. Step 4: Simplify right side
    5,057.58x = 13,438,164.26
  5. Step 5: Solve for x
    x = 13,438,164.26/5,057.58
  6. Step 6: Final answer
    x = 2,657.03

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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.