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Finding the Fourth Proportional to 5,216.08, 7,827.32 and 2,138

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Solution

The fourth proportional to 5,216.08, 7,827.32 and 2,138 is: 3,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.08 : 7,827.32 = 2,138 : x
  2. Step 2: Convert to fraction form
    5,216.08/7,827.32 = 2,138/x
  3. Step 3: Cross multiply
    5,216.08x = 7,827.32 × 2,138
  4. Step 4: Simplify right side
    5,216.08x = 16,734,810.16
  5. Step 5: Solve for x
    x = 16,734,810.16/5,216.08
  6. Step 6: Final answer
    x = 3,208.31

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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.