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Finding the Fourth Proportional to 4,806.33, 7,205.12 and 1,684.63

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Solution

The fourth proportional to 4,806.33, 7,205.12 and 1,684.63 is: 2,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.33 : 7,205.12 = 1,684.63 : x
  2. Step 2: Convert to fraction form
    4,806.33/7,205.12 = 1,684.63/x
  3. Step 3: Cross multiply
    4,806.33x = 7,205.12 × 1,684.63
  4. Step 4: Simplify right side
    4,806.33x = 12,137,937.15
  5. Step 5: Solve for x
    x = 12,137,937.15/4,806.33
  6. Step 6: Final answer
    x = 2,525.40

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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.