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Finding the Fourth Proportional to 3,512.64, 5,270.49 and 1,665.06

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Solution

The fourth proportional to 3,512.64, 5,270.49 and 1,665.06 is: 2,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.64 : 5,270.49 = 1,665.06 : x
  2. Step 2: Convert to fraction form
    3,512.64/5,270.49 = 1,665.06/x
  3. Step 3: Cross multiply
    3,512.64x = 5,270.49 × 1,665.06
  4. Step 4: Simplify right side
    3,512.64x = 8,775,682.08
  5. Step 5: Solve for x
    x = 8,775,682.08/3,512.64
  6. Step 6: Final answer
    x = 2,498.32

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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.