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Finding the Fourth Proportional to 3,671.04, 5,506.50 and 1,721.86

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Solution

The fourth proportional to 3,671.04, 5,506.50 and 1,721.86 is: 2,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.04 : 5,506.50 = 1,721.86 : x
  2. Step 2: Convert to fraction form
    3,671.04/5,506.50 = 1,721.86/x
  3. Step 3: Cross multiply
    3,671.04x = 5,506.50 × 1,721.86
  4. Step 4: Simplify right side
    3,671.04x = 9,481,422.09
  5. Step 5: Solve for x
    x = 9,481,422.09/3,671.04
  6. Step 6: Final answer
    x = 2,582.76

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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.