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Finding the Fourth Proportional to 4,806.10, 7,205.15 and 2,034.90

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Solution

The fourth proportional to 4,806.10, 7,205.15 and 2,034.90 is: 3,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.10 : 7,205.15 = 2,034.90 : x
  2. Step 2: Convert to fraction form
    4,806.10/7,205.15 = 2,034.90/x
  3. Step 3: Cross multiply
    4,806.10x = 7,205.15 × 2,034.90
  4. Step 4: Simplify right side
    4,806.10x = 14,661,759.74
  5. Step 5: Solve for x
    x = 14,661,759.74/4,806.10
  6. Step 6: Final answer
    x = 3,050.66

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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.