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Finding the Fourth Proportional to 3,305.75, 4,562.36 and 1,889.16

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Solution

The fourth proportional to 3,305.75, 4,562.36 and 1,889.16 is: 2,607.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.75 : 4,562.36 = 1,889.16 : x
  2. Step 2: Convert to fraction form
    3,305.75/4,562.36 = 1,889.16/x
  3. Step 3: Cross multiply
    3,305.75x = 4,562.36 × 1,889.16
  4. Step 4: Simplify right side
    3,305.75x = 8,619,008.55
  5. Step 5: Solve for x
    x = 8,619,008.55/3,305.75
  6. Step 6: Final answer
    x = 2,607.28

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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.