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Finding the Fourth Proportional to 3,427.64, 5,136.60 and 2,505.32

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Solution

The fourth proportional to 3,427.64, 5,136.60 and 2,505.32 is: 3,754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.64 : 5,136.60 = 2,505.32 : x
  2. Step 2: Convert to fraction form
    3,427.64/5,136.60 = 2,505.32/x
  3. Step 3: Cross multiply
    3,427.64x = 5,136.60 × 2,505.32
  4. Step 4: Simplify right side
    3,427.64x = 12,868,826.71
  5. Step 5: Solve for x
    x = 12,868,826.71/3,427.64
  6. Step 6: Final answer
    x = 3,754.43

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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.