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Finding the Fourth Proportional to 5,093.37, 7,674.76 and 4,189.18

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Solution

The fourth proportional to 5,093.37, 7,674.76 and 4,189.18 is: 6,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.37 : 7,674.76 = 4,189.18 : x
  2. Step 2: Convert to fraction form
    5,093.37/7,674.76 = 4,189.18/x
  3. Step 3: Cross multiply
    5,093.37x = 7,674.76 × 4,189.18
  4. Step 4: Simplify right side
    5,093.37x = 32,150,951.10
  5. Step 5: Solve for x
    x = 32,150,951.10/5,093.37
  6. Step 6: Final answer
    x = 6,312.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.