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Finding the Fourth Proportional to 3,401.72, 4,697.14 and 2,772.34

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Solution

The fourth proportional to 3,401.72, 4,697.14 and 2,772.34 is: 3,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.72 : 4,697.14 = 2,772.34 : x
  2. Step 2: Convert to fraction form
    3,401.72/4,697.14 = 2,772.34/x
  3. Step 3: Cross multiply
    3,401.72x = 4,697.14 × 2,772.34
  4. Step 4: Simplify right side
    3,401.72x = 13,022,069.11
  5. Step 5: Solve for x
    x = 13,022,069.11/3,401.72
  6. Step 6: Final answer
    x = 3,828.08

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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.