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Finding the Fourth Proportional to 3,594.72, 5,389.20 and 1,863.84

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Solution

The fourth proportional to 3,594.72, 5,389.20 and 1,863.84 is: 2,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.72 : 5,389.20 = 1,863.84 : x
  2. Step 2: Convert to fraction form
    3,594.72/5,389.20 = 1,863.84/x
  3. Step 3: Cross multiply
    3,594.72x = 5,389.20 × 1,863.84
  4. Step 4: Simplify right side
    3,594.72x = 10,044,606.53
  5. Step 5: Solve for x
    x = 10,044,606.53/3,594.72
  6. Step 6: Final answer
    x = 2,794.27

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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.