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Finding the Fourth Proportional to 3,632.36, 5,014.21 and 3,075.74

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Solution

The fourth proportional to 3,632.36, 5,014.21 and 3,075.74 is: 4,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.36 : 5,014.21 = 3,075.74 : x
  2. Step 2: Convert to fraction form
    3,632.36/5,014.21 = 3,075.74/x
  3. Step 3: Cross multiply
    3,632.36x = 5,014.21 × 3,075.74
  4. Step 4: Simplify right side
    3,632.36x = 15,422,406.27
  5. Step 5: Solve for x
    x = 15,422,406.27/3,632.36
  6. Step 6: Final answer
    x = 4,245.84

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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.