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Finding the Fourth Proportional to 4,194.53, 6,287.18 and 1,728.00

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Solution

The fourth proportional to 4,194.53, 6,287.18 and 1,728.00 is: 2,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.53 : 6,287.18 = 1,728.00 : x
  2. Step 2: Convert to fraction form
    4,194.53/6,287.18 = 1,728.00/x
  3. Step 3: Cross multiply
    4,194.53x = 6,287.18 × 1,728.00
  4. Step 4: Simplify right side
    4,194.53x = 10,864,274.35
  5. Step 5: Solve for x
    x = 10,864,274.35/4,194.53
  6. Step 6: Final answer
    x = 2,590.10

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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.