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Finding the Fourth Proportional to 4,764.30, 6,571.58 and 3,768

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Solution

The fourth proportional to 4,764.30, 6,571.58 and 3,768 is: 5,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.30 : 6,571.58 = 3,768 : x
  2. Step 2: Convert to fraction form
    4,764.30/6,571.58 = 3,768/x
  3. Step 3: Cross multiply
    4,764.30x = 6,571.58 × 3,768
  4. Step 4: Simplify right side
    4,764.30x = 24,761,694.60
  5. Step 5: Solve for x
    x = 24,761,694.60/4,764.30
  6. Step 6: Final answer
    x = 5,197.34

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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.