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Finding the Fourth Proportional to 3,532.75, 5,301.56 and 1,224.25

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Solution

The fourth proportional to 3,532.75, 5,301.56 and 1,224.25 is: 1,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.75 : 5,301.56 = 1,224.25 : x
  2. Step 2: Convert to fraction form
    3,532.75/5,301.56 = 1,224.25/x
  3. Step 3: Cross multiply
    3,532.75x = 5,301.56 × 1,224.25
  4. Step 4: Simplify right side
    3,532.75x = 6,490,434.83
  5. Step 5: Solve for x
    x = 6,490,434.83/3,532.75
  6. Step 6: Final answer
    x = 1,837.22

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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.