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Finding the Fourth Proportional to 3,512.01, 5,264.91 and 1,433.75

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Solution

The fourth proportional to 3,512.01, 5,264.91 and 1,433.75 is: 2,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.01 : 5,264.91 = 1,433.75 : x
  2. Step 2: Convert to fraction form
    3,512.01/5,264.91 = 1,433.75/x
  3. Step 3: Cross multiply
    3,512.01x = 5,264.91 × 1,433.75
  4. Step 4: Simplify right side
    3,512.01x = 7,548,564.71
  5. Step 5: Solve for x
    x = 7,548,564.71/3,512.01
  6. Step 6: Final answer
    x = 2,149.36

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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.