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Finding the Fourth Proportional to 5,448.70, 8,111.42 and 5,416.30

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Solution

The fourth proportional to 5,448.70, 8,111.42 and 5,416.30 is: 8,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448.70 : 8,111.42 = 5,416.30 : x
  2. Step 2: Convert to fraction form
    5,448.70/8,111.42 = 5,416.30/x
  3. Step 3: Cross multiply
    5,448.70x = 8,111.42 × 5,416.30
  4. Step 4: Simplify right side
    5,448.70x = 43,933,884.15
  5. Step 5: Solve for x
    x = 43,933,884.15/5,448.70
  6. Step 6: Final answer
    x = 8,063.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.