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Finding the Fourth Proportional to 5,893.51, 8,120.60 and 5,416.01

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Solution

The fourth proportional to 5,893.51, 8,120.60 and 5,416.01 is: 7,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.51 : 8,120.60 = 5,416.01 : x
  2. Step 2: Convert to fraction form
    5,893.51/8,120.60 = 5,416.01/x
  3. Step 3: Cross multiply
    5,893.51x = 8,120.60 × 5,416.01
  4. Step 4: Simplify right side
    5,893.51x = 43,981,310.03
  5. Step 5: Solve for x
    x = 43,981,310.03/5,893.51
  6. Step 6: Final answer
    x = 7,462.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.