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Finding the Fourth Proportional to 3,709.26, 5,564.37 and 1,370.91

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Solution

The fourth proportional to 3,709.26, 5,564.37 and 1,370.91 is: 2,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.26 : 5,564.37 = 1,370.91 : x
  2. Step 2: Convert to fraction form
    3,709.26/5,564.37 = 1,370.91/x
  3. Step 3: Cross multiply
    3,709.26x = 5,564.37 × 1,370.91
  4. Step 4: Simplify right side
    3,709.26x = 7,628,250.48
  5. Step 5: Solve for x
    x = 7,628,250.48/3,709.26
  6. Step 6: Final answer
    x = 2,056.54

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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.