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Finding the Fourth Proportional to 3,697.17, 5,102.22 and 2,206.23

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Solution

The fourth proportional to 3,697.17, 5,102.22 and 2,206.23 is: 3,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.17 : 5,102.22 = 2,206.23 : x
  2. Step 2: Convert to fraction form
    3,697.17/5,102.22 = 2,206.23/x
  3. Step 3: Cross multiply
    3,697.17x = 5,102.22 × 2,206.23
  4. Step 4: Simplify right side
    3,697.17x = 11,256,670.83
  5. Step 5: Solve for x
    x = 11,256,670.83/3,697.17
  6. Step 6: Final answer
    x = 3,044.67

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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.