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Finding the Fourth Proportional to 3,671.08, 5,502.14 and 1,720.68

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Solution

The fourth proportional to 3,671.08, 5,502.14 and 1,720.68 is: 2,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.08 : 5,502.14 = 1,720.68 : x
  2. Step 2: Convert to fraction form
    3,671.08/5,502.14 = 1,720.68/x
  3. Step 3: Cross multiply
    3,671.08x = 5,502.14 × 1,720.68
  4. Step 4: Simplify right side
    3,671.08x = 9,467,422.26
  5. Step 5: Solve for x
    x = 9,467,422.26/3,671.08
  6. Step 6: Final answer
    x = 2,578.92

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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.