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Finding the Fourth Proportional to 4,735.50, 7,095.84 and 1,812.18

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Solution

The fourth proportional to 4,735.50, 7,095.84 and 1,812.18 is: 2,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.50 : 7,095.84 = 1,812.18 : x
  2. Step 2: Convert to fraction form
    4,735.50/7,095.84 = 1,812.18/x
  3. Step 3: Cross multiply
    4,735.50x = 7,095.84 × 1,812.18
  4. Step 4: Simplify right side
    4,735.50x = 12,858,939.33
  5. Step 5: Solve for x
    x = 12,858,939.33/4,735.50
  6. Step 6: Final answer
    x = 2,715.43

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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.