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Finding the Fourth Proportional to 4,768.66, 7,149.75 and 1,956.34

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Solution

The fourth proportional to 4,768.66, 7,149.75 and 1,956.34 is: 2,933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.66 : 7,149.75 = 1,956.34 : x
  2. Step 2: Convert to fraction form
    4,768.66/7,149.75 = 1,956.34/x
  3. Step 3: Cross multiply
    4,768.66x = 7,149.75 × 1,956.34
  4. Step 4: Simplify right side
    4,768.66x = 13,987,341.92
  5. Step 5: Solve for x
    x = 13,987,341.92/4,768.66
  6. Step 6: Final answer
    x = 2,933.18

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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.