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Finding the Fourth Proportional to 4,944.24, 7,412.15 and 2,168.80

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Solution

The fourth proportional to 4,944.24, 7,412.15 and 2,168.80 is: 3,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.24 : 7,412.15 = 2,168.80 : x
  2. Step 2: Convert to fraction form
    4,944.24/7,412.15 = 2,168.80/x
  3. Step 3: Cross multiply
    4,944.24x = 7,412.15 × 2,168.80
  4. Step 4: Simplify right side
    4,944.24x = 16,075,457.81
  5. Step 5: Solve for x
    x = 16,075,457.81/4,944.24
  6. Step 6: Final answer
    x = 3,251.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.