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Finding the Fourth Proportional to 3,512.51, 5,271.37 and 1,663.63

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Solution

The fourth proportional to 3,512.51, 5,271.37 and 1,663.63 is: 2,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.51 : 5,271.37 = 1,663.63 : x
  2. Step 2: Convert to fraction form
    3,512.51/5,271.37 = 1,663.63/x
  3. Step 3: Cross multiply
    3,512.51x = 5,271.37 × 1,663.63
  4. Step 4: Simplify right side
    3,512.51x = 8,769,626.27
  5. Step 5: Solve for x
    x = 8,769,626.27/3,512.51
  6. Step 6: Final answer
    x = 2,496.68

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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.