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Finding the Fourth Proportional to 4,045.22, 5,546.00 and 3,971.42

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Solution

The fourth proportional to 4,045.22, 5,546.00 and 3,971.42 is: 5,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,045.22 : 5,546.00 = 3,971.42 : x
  2. Step 2: Convert to fraction form
    4,045.22/5,546.00 = 3,971.42/x
  3. Step 3: Cross multiply
    4,045.22x = 5,546.00 × 3,971.42
  4. Step 4: Simplify right side
    4,045.22x = 22,025,477.52
  5. Step 5: Solve for x
    x = 22,025,477.52/4,045.22
  6. Step 6: Final answer
    x = 5,444.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.