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Finding the Fourth Proportional to 5,482.82, 8,222.09 and 1,784.15

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Solution

The fourth proportional to 5,482.82, 8,222.09 and 1,784.15 is: 2,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.82 : 8,222.09 = 1,784.15 : x
  2. Step 2: Convert to fraction form
    5,482.82/8,222.09 = 1,784.15/x
  3. Step 3: Cross multiply
    5,482.82x = 8,222.09 × 1,784.15
  4. Step 4: Simplify right side
    5,482.82x = 14,669,432.95
  5. Step 5: Solve for x
    x = 14,669,432.95/5,482.82
  6. Step 6: Final answer
    x = 2,675.53

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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.