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Finding the Fourth Proportional to 4,057.58, 5,599.46 and 2,194.58

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Solution

The fourth proportional to 4,057.58, 5,599.46 and 2,194.58 is: 3,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.58 : 5,599.46 = 2,194.58 : x
  2. Step 2: Convert to fraction form
    4,057.58/5,599.46 = 2,194.58/x
  3. Step 3: Cross multiply
    4,057.58x = 5,599.46 × 2,194.58
  4. Step 4: Simplify right side
    4,057.58x = 12,288,423.96
  5. Step 5: Solve for x
    x = 12,288,423.96/4,057.58
  6. Step 6: Final answer
    x = 3,028.51

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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.