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Finding the Fourth Proportional to 4,566.36, 6,298.38 and 4,194.60

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Solution

The fourth proportional to 4,566.36, 6,298.38 and 4,194.60 is: 5,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.36 : 6,298.38 = 4,194.60 : x
  2. Step 2: Convert to fraction form
    4,566.36/6,298.38 = 4,194.60/x
  3. Step 3: Cross multiply
    4,566.36x = 6,298.38 × 4,194.60
  4. Step 4: Simplify right side
    4,566.36x = 26,419,184.75
  5. Step 5: Solve for x
    x = 26,419,184.75/4,566.36
  6. Step 6: Final answer
    x = 5,785.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.