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Finding the Fourth Proportional to 3,395.90, 5,089.74 and 1,544.48

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Solution

The fourth proportional to 3,395.90, 5,089.74 and 1,544.48 is: 2,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.90 : 5,089.74 = 1,544.48 : x
  2. Step 2: Convert to fraction form
    3,395.90/5,089.74 = 1,544.48/x
  3. Step 3: Cross multiply
    3,395.90x = 5,089.74 × 1,544.48
  4. Step 4: Simplify right side
    3,395.90x = 7,860,976.19
  5. Step 5: Solve for x
    x = 7,860,976.19/3,395.90
  6. Step 6: Final answer
    x = 2,314.84

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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.