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Finding the Fourth Proportional to 4,084.40, 6,124.02 and 1,893.80

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Solution

The fourth proportional to 4,084.40, 6,124.02 and 1,893.80 is: 2,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084.40 : 6,124.02 = 1,893.80 : x
  2. Step 2: Convert to fraction form
    4,084.40/6,124.02 = 1,893.80/x
  3. Step 3: Cross multiply
    4,084.40x = 6,124.02 × 1,893.80
  4. Step 4: Simplify right side
    4,084.40x = 11,597,669.08
  5. Step 5: Solve for x
    x = 11,597,669.08/4,084.40
  6. Step 6: Final answer
    x = 2,839.50

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Why These Related Problems?

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