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Finding the Fourth Proportional to 5,290.54, 7,300.98 and 3,194.26

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Solution

The fourth proportional to 5,290.54, 7,300.98 and 3,194.26 is: 4,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.54 : 7,300.98 = 3,194.26 : x
  2. Step 2: Convert to fraction form
    5,290.54/7,300.98 = 3,194.26/x
  3. Step 3: Cross multiply
    5,290.54x = 7,300.98 × 3,194.26
  4. Step 4: Simplify right side
    5,290.54x = 23,321,228.37
  5. Step 5: Solve for x
    x = 23,321,228.37/5,290.54
  6. Step 6: Final answer
    x = 4,408.10

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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.