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Finding the Fourth Proportional to 3,697.28, 5,101.12 and 2,225.28

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Solution

The fourth proportional to 3,697.28, 5,101.12 and 2,225.28 is: 3,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.28 : 5,101.12 = 2,225.28 : x
  2. Step 2: Convert to fraction form
    3,697.28/5,101.12 = 2,225.28/x
  3. Step 3: Cross multiply
    3,697.28x = 5,101.12 × 2,225.28
  4. Step 4: Simplify right side
    3,697.28x = 11,351,420.31
  5. Step 5: Solve for x
    x = 11,351,420.31/3,697.28
  6. Step 6: Final answer
    x = 3,070.21

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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.