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Finding the Fourth Proportional to 3,650.24, 5,036.10 and 2,077.22

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Solution

The fourth proportional to 3,650.24, 5,036.10 and 2,077.22 is: 2,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.24 : 5,036.10 = 2,077.22 : x
  2. Step 2: Convert to fraction form
    3,650.24/5,036.10 = 2,077.22/x
  3. Step 3: Cross multiply
    3,650.24x = 5,036.10 × 2,077.22
  4. Step 4: Simplify right side
    3,650.24x = 10,461,087.64
  5. Step 5: Solve for x
    x = 10,461,087.64/3,650.24
  6. Step 6: Final answer
    x = 2,865.86

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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.