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Finding the Fourth Proportional to 3,505.72, 5,256.78 and 1,040.23

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Solution

The fourth proportional to 3,505.72, 5,256.78 and 1,040.23 is: 1,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.72 : 5,256.78 = 1,040.23 : x
  2. Step 2: Convert to fraction form
    3,505.72/5,256.78 = 1,040.23/x
  3. Step 3: Cross multiply
    3,505.72x = 5,256.78 × 1,040.23
  4. Step 4: Simplify right side
    3,505.72x = 5,468,260.26
  5. Step 5: Solve for x
    x = 5,468,260.26/3,505.72
  6. Step 6: Final answer
    x = 1,559.81

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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.