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Finding the Fourth Proportional to 5,183.46, 7,106.49 and 5,090.20

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Solution

The fourth proportional to 5,183.46, 7,106.49 and 5,090.20 is: 6,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.46 : 7,106.49 = 5,090.20 : x
  2. Step 2: Convert to fraction form
    5,183.46/7,106.49 = 5,090.20/x
  3. Step 3: Cross multiply
    5,183.46x = 7,106.49 × 5,090.20
  4. Step 4: Simplify right side
    5,183.46x = 36,173,455.40
  5. Step 5: Solve for x
    x = 36,173,455.40/5,183.46
  6. Step 6: Final answer
    x = 6,978.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.