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Finding the Fourth Proportional to 5,416.51, 8,128.37 and 1,906.51

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Solution

The fourth proportional to 5,416.51, 8,128.37 and 1,906.51 is: 2,861.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.51 : 8,128.37 = 1,906.51 : x
  2. Step 2: Convert to fraction form
    5,416.51/8,128.37 = 1,906.51/x
  3. Step 3: Cross multiply
    5,416.51x = 8,128.37 × 1,906.51
  4. Step 4: Simplify right side
    5,416.51x = 15,496,809.16
  5. Step 5: Solve for x
    x = 15,496,809.16/5,416.51
  6. Step 6: Final answer
    x = 2,861.03

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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.