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Finding the Fourth Proportional to 4,056.54, 5,597.16 and 3,049.33

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Solution

The fourth proportional to 4,056.54, 5,597.16 and 3,049.33 is: 4,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.54 : 5,597.16 = 3,049.33 : x
  2. Step 2: Convert to fraction form
    4,056.54/5,597.16 = 3,049.33/x
  3. Step 3: Cross multiply
    4,056.54x = 5,597.16 × 3,049.33
  4. Step 4: Simplify right side
    4,056.54x = 17,067,575.37
  5. Step 5: Solve for x
    x = 17,067,575.37/4,056.54
  6. Step 6: Final answer
    x = 4,207.42

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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.