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Finding the Fourth Proportional to 6,770.53, 10,155.75 and 3,484.54

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Solution

The fourth proportional to 6,770.53, 10,155.75 and 3,484.54 is: 5,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.53 : 10,155.75 = 3,484.54 : x
  2. Step 2: Convert to fraction form
    6,770.53/10,155.75 = 3,484.54/x
  3. Step 3: Cross multiply
    6,770.53x = 10,155.75 × 3,484.54
  4. Step 4: Simplify right side
    6,770.53x = 35,388,117.11
  5. Step 5: Solve for x
    x = 35,388,117.11/6,770.53
  6. Step 6: Final answer
    x = 5,226.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.