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Finding the Fourth Proportional to 4,964.45, 6,852.13 and 3,074.88

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Solution

The fourth proportional to 4,964.45, 6,852.13 and 3,074.88 is: 4,244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.45 : 6,852.13 = 3,074.88 : x
  2. Step 2: Convert to fraction form
    4,964.45/6,852.13 = 3,074.88/x
  3. Step 3: Cross multiply
    4,964.45x = 6,852.13 × 3,074.88
  4. Step 4: Simplify right side
    4,964.45x = 21,069,469.81
  5. Step 5: Solve for x
    x = 21,069,469.81/4,964.45
  6. Step 6: Final answer
    x = 4,244.07

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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.