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Finding the Fourth Proportional to 5,671.96, 8,504.61 and 1,722.03

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Solution

The fourth proportional to 5,671.96, 8,504.61 and 1,722.03 is: 2,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.96 : 8,504.61 = 1,722.03 : x
  2. Step 2: Convert to fraction form
    5,671.96/8,504.61 = 1,722.03/x
  3. Step 3: Cross multiply
    5,671.96x = 8,504.61 × 1,722.03
  4. Step 4: Simplify right side
    5,671.96x = 14,645,193.56
  5. Step 5: Solve for x
    x = 14,645,193.56/5,671.96
  6. Step 6: Final answer
    x = 2,582.03

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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.