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Finding the Fourth Proportional to 4,840.56, 7,255.37 and 2,205.23

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Solution

The fourth proportional to 4,840.56, 7,255.37 and 2,205.23 is: 3,305.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.56 : 7,255.37 = 2,205.23 : x
  2. Step 2: Convert to fraction form
    4,840.56/7,255.37 = 2,205.23/x
  3. Step 3: Cross multiply
    4,840.56x = 7,255.37 × 2,205.23
  4. Step 4: Simplify right side
    4,840.56x = 15,999,728.82
  5. Step 5: Solve for x
    x = 15,999,728.82/4,840.56
  6. Step 6: Final answer
    x = 3,305.35

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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.