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Finding the Fourth Proportional to 5,418.64, 8,128.90 and 1,720.80

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Solution

The fourth proportional to 5,418.64, 8,128.90 and 1,720.80 is: 2,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.64 : 8,128.90 = 1,720.80 : x
  2. Step 2: Convert to fraction form
    5,418.64/8,128.90 = 1,720.80/x
  3. Step 3: Cross multiply
    5,418.64x = 8,128.90 × 1,720.80
  4. Step 4: Simplify right side
    5,418.64x = 13,988,211.12
  5. Step 5: Solve for x
    x = 13,988,211.12/5,418.64
  6. Step 6: Final answer
    x = 2,581.50

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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.