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Finding the Fourth Proportional to 5,165.89, 7,744.28 and 2,048.08

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Solution

The fourth proportional to 5,165.89, 7,744.28 and 2,048.08 is: 3,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.89 : 7,744.28 = 2,048.08 : x
  2. Step 2: Convert to fraction form
    5,165.89/7,744.28 = 2,048.08/x
  3. Step 3: Cross multiply
    5,165.89x = 7,744.28 × 2,048.08
  4. Step 4: Simplify right side
    5,165.89x = 15,860,908.68
  5. Step 5: Solve for x
    x = 15,860,908.68/5,165.89
  6. Step 6: Final answer
    x = 3,070.32

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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.