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Finding the Fourth Proportional to 4,738.14, 7,109.06 and 1,964.12

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Solution

The fourth proportional to 4,738.14, 7,109.06 and 1,964.12 is: 2,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.14 : 7,109.06 = 1,964.12 : x
  2. Step 2: Convert to fraction form
    4,738.14/7,109.06 = 1,964.12/x
  3. Step 3: Cross multiply
    4,738.14x = 7,109.06 × 1,964.12
  4. Step 4: Simplify right side
    4,738.14x = 13,963,001.56
  5. Step 5: Solve for x
    x = 13,963,001.56/4,738.14
  6. Step 6: Final answer
    x = 2,946.94

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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.