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Finding the Fourth Proportional to 3,663.37, 5,498.01 and 2,083.06

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Solution

The fourth proportional to 3,663.37, 5,498.01 and 2,083.06 is: 3,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.37 : 5,498.01 = 2,083.06 : x
  2. Step 2: Convert to fraction form
    3,663.37/5,498.01 = 2,083.06/x
  3. Step 3: Cross multiply
    3,663.37x = 5,498.01 × 2,083.06
  4. Step 4: Simplify right side
    3,663.37x = 11,452,657.22
  5. Step 5: Solve for x
    x = 11,452,657.22/3,663.37
  6. Step 6: Final answer
    x = 3,126.27

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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.