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Finding the Fourth Proportional to 3,584.15, 5,371.02 and 1,580.41

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Solution

The fourth proportional to 3,584.15, 5,371.02 and 1,580.41 is: 2,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.15 : 5,371.02 = 1,580.41 : x
  2. Step 2: Convert to fraction form
    3,584.15/5,371.02 = 1,580.41/x
  3. Step 3: Cross multiply
    3,584.15x = 5,371.02 × 1,580.41
  4. Step 4: Simplify right side
    3,584.15x = 8,488,378.96
  5. Step 5: Solve for x
    x = 8,488,378.96/3,584.15
  6. Step 6: Final answer
    x = 2,368.31

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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.