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Finding the Fourth Proportional to 4,657.62, 6,986.42 and 1,194.87

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Solution

The fourth proportional to 4,657.62, 6,986.42 and 1,194.87 is: 1,792.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.62 : 6,986.42 = 1,194.87 : x
  2. Step 2: Convert to fraction form
    4,657.62/6,986.42 = 1,194.87/x
  3. Step 3: Cross multiply
    4,657.62x = 6,986.42 × 1,194.87
  4. Step 4: Simplify right side
    4,657.62x = 8,347,866.65
  5. Step 5: Solve for x
    x = 8,347,866.65/4,657.62
  6. Step 6: Final answer
    x = 1,792.30

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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.