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Finding the Fourth Proportional to 4,809.36, 7,218.36 and 3,428.04

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Solution

The fourth proportional to 4,809.36, 7,218.36 and 3,428.04 is: 5,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.36 : 7,218.36 = 3,428.04 : x
  2. Step 2: Convert to fraction form
    4,809.36/7,218.36 = 3,428.04/x
  3. Step 3: Cross multiply
    4,809.36x = 7,218.36 × 3,428.04
  4. Step 4: Simplify right side
    4,809.36x = 24,744,826.81
  5. Step 5: Solve for x
    x = 24,744,826.81/4,809.36
  6. Step 6: Final answer
    x = 5,145.14

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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.