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Finding the Fourth Proportional to 3,579.12, 5,364.75 and 1,728.93

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Solution

The fourth proportional to 3,579.12, 5,364.75 and 1,728.93 is: 2,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.12 : 5,364.75 = 1,728.93 : x
  2. Step 2: Convert to fraction form
    3,579.12/5,364.75 = 1,728.93/x
  3. Step 3: Cross multiply
    3,579.12x = 5,364.75 × 1,728.93
  4. Step 4: Simplify right side
    3,579.12x = 9,275,277.22
  5. Step 5: Solve for x
    x = 9,275,277.22/3,579.12
  6. Step 6: Final answer
    x = 2,591.50

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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.