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Finding the Fourth Proportional to 4,736.32, 6,534.02 and 2,846.80

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Solution

The fourth proportional to 4,736.32, 6,534.02 and 2,846.80 is: 3,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.32 : 6,534.02 = 2,846.80 : x
  2. Step 2: Convert to fraction form
    4,736.32/6,534.02 = 2,846.80/x
  3. Step 3: Cross multiply
    4,736.32x = 6,534.02 × 2,846.80
  4. Step 4: Simplify right side
    4,736.32x = 18,601,048.14
  5. Step 5: Solve for x
    x = 18,601,048.14/4,736.32
  6. Step 6: Final answer
    x = 3,927.32

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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.