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Finding the Fourth Proportional to 3,427.44, 4,729.87 and 1,855.53

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Solution

The fourth proportional to 3,427.44, 4,729.87 and 1,855.53 is: 2,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.44 : 4,729.87 = 1,855.53 : x
  2. Step 2: Convert to fraction form
    3,427.44/4,729.87 = 1,855.53/x
  3. Step 3: Cross multiply
    3,427.44x = 4,729.87 × 1,855.53
  4. Step 4: Simplify right side
    3,427.44x = 8,776,411.04
  5. Step 5: Solve for x
    x = 8,776,411.04/3,427.44
  6. Step 6: Final answer
    x = 2,560.63

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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.