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Finding the Fourth Proportional to 3,788.96, 5,681.88 and 2,232.09

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Solution

The fourth proportional to 3,788.96, 5,681.88 and 2,232.09 is: 3,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.96 : 5,681.88 = 2,232.09 : x
  2. Step 2: Convert to fraction form
    3,788.96/5,681.88 = 2,232.09/x
  3. Step 3: Cross multiply
    3,788.96x = 5,681.88 × 2,232.09
  4. Step 4: Simplify right side
    3,788.96x = 12,682,467.53
  5. Step 5: Solve for x
    x = 12,682,467.53/3,788.96
  6. Step 6: Final answer
    x = 3,347.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.