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Finding the Fourth Proportional to 5,235.92, 7,855.44 and 2,114.32

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Solution

The fourth proportional to 5,235.92, 7,855.44 and 2,114.32 is: 3,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.92 : 7,855.44 = 2,114.32 : x
  2. Step 2: Convert to fraction form
    5,235.92/7,855.44 = 2,114.32/x
  3. Step 3: Cross multiply
    5,235.92x = 7,855.44 × 2,114.32
  4. Step 4: Simplify right side
    5,235.92x = 16,608,913.90
  5. Step 5: Solve for x
    x = 16,608,913.90/5,235.92
  6. Step 6: Final answer
    x = 3,172.11

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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.