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Finding the Fourth Proportional to 3,374.88, 5,064.69 and 1,183.64

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Solution

The fourth proportional to 3,374.88, 5,064.69 and 1,183.64 is: 1,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.88 : 5,064.69 = 1,183.64 : x
  2. Step 2: Convert to fraction form
    3,374.88/5,064.69 = 1,183.64/x
  3. Step 3: Cross multiply
    3,374.88x = 5,064.69 × 1,183.64
  4. Step 4: Simplify right side
    3,374.88x = 5,994,744.35
  5. Step 5: Solve for x
    x = 5,994,744.35/3,374.88
  6. Step 6: Final answer
    x = 1,776.28

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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.