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Finding the Fourth Proportional to 3,684.09, 5,524.16 and 1,924.84

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Solution

The fourth proportional to 3,684.09, 5,524.16 and 1,924.84 is: 2,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.09 : 5,524.16 = 1,924.84 : x
  2. Step 2: Convert to fraction form
    3,684.09/5,524.16 = 1,924.84/x
  3. Step 3: Cross multiply
    3,684.09x = 5,524.16 × 1,924.84
  4. Step 4: Simplify right side
    3,684.09x = 10,633,096.51
  5. Step 5: Solve for x
    x = 10,633,096.51/3,684.09
  6. Step 6: Final answer
    x = 2,886.22

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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.