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Finding the Fourth Proportional to 4,193.64, 5,786.34 and 2,330.60

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Solution

The fourth proportional to 4,193.64, 5,786.34 and 2,330.60 is: 3,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.64 : 5,786.34 = 2,330.60 : x
  2. Step 2: Convert to fraction form
    4,193.64/5,786.34 = 2,330.60/x
  3. Step 3: Cross multiply
    4,193.64x = 5,786.34 × 2,330.60
  4. Step 4: Simplify right side
    4,193.64x = 13,485,644.00
  5. Step 5: Solve for x
    x = 13,485,644.00/4,193.64
  6. Step 6: Final answer
    x = 3,215.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.