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Finding the Fourth Proportional to 3,584.22, 5,373.68 and 1,504.84

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Solution

The fourth proportional to 3,584.22, 5,373.68 and 1,504.84 is: 2,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.22 : 5,373.68 = 1,504.84 : x
  2. Step 2: Convert to fraction form
    3,584.22/5,373.68 = 1,504.84/x
  3. Step 3: Cross multiply
    3,584.22x = 5,373.68 × 1,504.84
  4. Step 4: Simplify right side
    3,584.22x = 8,086,528.61
  5. Step 5: Solve for x
    x = 8,086,528.61/3,584.22
  6. Step 6: Final answer
    x = 2,256.15

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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.