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Finding the Fourth Proportional to 5,138.34, 7,720.19 and 3,290.26

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Solution

The fourth proportional to 5,138.34, 7,720.19 and 3,290.26 is: 4,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.34 : 7,720.19 = 3,290.26 : x
  2. Step 2: Convert to fraction form
    5,138.34/7,720.19 = 3,290.26/x
  3. Step 3: Cross multiply
    5,138.34x = 7,720.19 × 3,290.26
  4. Step 4: Simplify right side
    5,138.34x = 25,401,432.35
  5. Step 5: Solve for x
    x = 25,401,432.35/5,138.34
  6. Step 6: Final answer
    x = 4,943.51

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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.