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Finding the Fourth Proportional to 4,697.14, 6,476.49 and 3,205.78

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Solution

The fourth proportional to 4,697.14, 6,476.49 and 3,205.78 is: 4,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.14 : 6,476.49 = 3,205.78 : x
  2. Step 2: Convert to fraction form
    4,697.14/6,476.49 = 3,205.78/x
  3. Step 3: Cross multiply
    4,697.14x = 6,476.49 × 3,205.78
  4. Step 4: Simplify right side
    4,697.14x = 20,762,202.11
  5. Step 5: Solve for x
    x = 20,762,202.11/4,697.14
  6. Step 6: Final answer
    x = 4,420.18

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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.