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Finding the Fourth Proportional to 4,065.41, 5,610.27 and 2,202.41

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Solution

The fourth proportional to 4,065.41, 5,610.27 and 2,202.41 is: 3,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.41 : 5,610.27 = 2,202.41 : x
  2. Step 2: Convert to fraction form
    4,065.41/5,610.27 = 2,202.41/x
  3. Step 3: Cross multiply
    4,065.41x = 5,610.27 × 2,202.41
  4. Step 4: Simplify right side
    4,065.41x = 12,356,075.69
  5. Step 5: Solve for x
    x = 12,356,075.69/4,065.41
  6. Step 6: Final answer
    x = 3,039.32

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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.