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Finding the Fourth Proportional to 5,584.41, 8,376.80 and 2,809.57

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Solution

The fourth proportional to 5,584.41, 8,376.80 and 2,809.57 is: 4,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.41 : 8,376.80 = 2,809.57 : x
  2. Step 2: Convert to fraction form
    5,584.41/8,376.80 = 2,809.57/x
  3. Step 3: Cross multiply
    5,584.41x = 8,376.80 × 2,809.57
  4. Step 4: Simplify right side
    5,584.41x = 23,535,205.98
  5. Step 5: Solve for x
    x = 23,535,205.98/5,584.41
  6. Step 6: Final answer
    x = 4,214.45

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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.