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Finding the Fourth Proportional to 4,736.36, 7,102.16 and 2,762.70

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Solution

The fourth proportional to 4,736.36, 7,102.16 and 2,762.70 is: 4,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.36 : 7,102.16 = 2,762.70 : x
  2. Step 2: Convert to fraction form
    4,736.36/7,102.16 = 2,762.70/x
  3. Step 3: Cross multiply
    4,736.36x = 7,102.16 × 2,762.70
  4. Step 4: Simplify right side
    4,736.36x = 19,621,137.43
  5. Step 5: Solve for x
    x = 19,621,137.43/4,736.36
  6. Step 6: Final answer
    x = 4,142.66

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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.