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Finding the Fourth Proportional to 5,379.49, 8,069.64 and 1,681.84

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Solution

The fourth proportional to 5,379.49, 8,069.64 and 1,681.84 is: 2,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379.49 : 8,069.64 = 1,681.84 : x
  2. Step 2: Convert to fraction form
    5,379.49/8,069.64 = 1,681.84/x
  3. Step 3: Cross multiply
    5,379.49x = 8,069.64 × 1,681.84
  4. Step 4: Simplify right side
    5,379.49x = 13,571,843.34
  5. Step 5: Solve for x
    x = 13,571,843.34/5,379.49
  6. Step 6: Final answer
    x = 2,522.89

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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.