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Finding the Fourth Proportional to 3,927.44, 5,417 and 2,491.32

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Solution

The fourth proportional to 3,927.44, 5,417 and 2,491.32 is: 3,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.44 : 5,417 = 2,491.32 : x
  2. Step 2: Convert to fraction form
    3,927.44/5,417 = 2,491.32/x
  3. Step 3: Cross multiply
    3,927.44x = 5,417 × 2,491.32
  4. Step 4: Simplify right side
    3,927.44x = 13,495,480.44
  5. Step 5: Solve for x
    x = 13,495,480.44/3,927.44
  6. Step 6: Final answer
    x = 3,436.20

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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.