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Finding the Fourth Proportional to 5,930.68, 8,894.34 and 2,232.58

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Solution

The fourth proportional to 5,930.68, 8,894.34 and 2,232.58 is: 3,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.68 : 8,894.34 = 2,232.58 : x
  2. Step 2: Convert to fraction form
    5,930.68/8,894.34 = 2,232.58/x
  3. Step 3: Cross multiply
    5,930.68x = 8,894.34 × 2,232.58
  4. Step 4: Simplify right side
    5,930.68x = 19,857,325.60
  5. Step 5: Solve for x
    x = 19,857,325.60/5,930.68
  6. Step 6: Final answer
    x = 3,348.24

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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.