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Finding the Fourth Proportional to 6,056, 8,358 and 3,964.76

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Solution

The fourth proportional to 6,056, 8,358 and 3,964.76 is: 5,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056 : 8,358 = 3,964.76 : x
  2. Step 2: Convert to fraction form
    6,056/8,358 = 3,964.76/x
  3. Step 3: Cross multiply
    6,056x = 8,358 × 3,964.76
  4. Step 4: Simplify right side
    6,056x = 33,137,464.08
  5. Step 5: Solve for x
    x = 33,137,464.08/6,056
  6. Step 6: Final answer
    x = 5,471.84

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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.