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Finding the Fourth Proportional to 3,670.21, 5,065.77 and 2,099.22

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Solution

The fourth proportional to 3,670.21, 5,065.77 and 2,099.22 is: 2,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.21 : 5,065.77 = 2,099.22 : x
  2. Step 2: Convert to fraction form
    3,670.21/5,065.77 = 2,099.22/x
  3. Step 3: Cross multiply
    3,670.21x = 5,065.77 × 2,099.22
  4. Step 4: Simplify right side
    3,670.21x = 10,634,165.70
  5. Step 5: Solve for x
    x = 10,634,165.70/3,670.21
  6. Step 6: Final answer
    x = 2,897.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.