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Finding the Fourth Proportional to 4,008.96, 5,523.84 and 3,075.84

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Solution

The fourth proportional to 4,008.96, 5,523.84 and 3,075.84 is: 4,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,008.96 : 5,523.84 = 3,075.84 : x
  2. Step 2: Convert to fraction form
    4,008.96/5,523.84 = 3,075.84/x
  3. Step 3: Cross multiply
    4,008.96x = 5,523.84 × 3,075.84
  4. Step 4: Simplify right side
    4,008.96x = 16,990,448.03
  5. Step 5: Solve for x
    x = 16,990,448.03/4,008.96
  6. Step 6: Final answer
    x = 4,238.12

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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.