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Finding the Fourth Proportional to 4,266.84, 6,406.20 and 3,389.88

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Solution

The fourth proportional to 4,266.84, 6,406.20 and 3,389.88 is: 5,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.84 : 6,406.20 = 3,389.88 : x
  2. Step 2: Convert to fraction form
    4,266.84/6,406.20 = 3,389.88/x
  3. Step 3: Cross multiply
    4,266.84x = 6,406.20 × 3,389.88
  4. Step 4: Simplify right side
    4,266.84x = 21,716,249.26
  5. Step 5: Solve for x
    x = 21,716,249.26/4,266.84
  6. Step 6: Final answer
    x = 5,089.54

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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.