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Finding the Fourth Proportional to 5,955.75, 8,219.31 and 3,438.32

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Solution

The fourth proportional to 5,955.75, 8,219.31 and 3,438.32 is: 4,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,955.75 : 8,219.31 = 3,438.32 : x
  2. Step 2: Convert to fraction form
    5,955.75/8,219.31 = 3,438.32/x
  3. Step 3: Cross multiply
    5,955.75x = 8,219.31 × 3,438.32
  4. Step 4: Simplify right side
    5,955.75x = 28,260,600.77
  5. Step 5: Solve for x
    x = 28,260,600.77/5,955.75
  6. Step 6: Final answer
    x = 4,745.10

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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.