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Finding the Fourth Proportional to 4,726.12, 7,074.30 and 3,896.68

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Solution

The fourth proportional to 4,726.12, 7,074.30 and 3,896.68 is: 5,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.12 : 7,074.30 = 3,896.68 : x
  2. Step 2: Convert to fraction form
    4,726.12/7,074.30 = 3,896.68/x
  3. Step 3: Cross multiply
    4,726.12x = 7,074.30 × 3,896.68
  4. Step 4: Simplify right side
    4,726.12x = 27,566,283.32
  5. Step 5: Solve for x
    x = 27,566,283.32/4,726.12
  6. Step 6: Final answer
    x = 5,832.75

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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.