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Finding the Fourth Proportional to 5,482.09, 7,541.37 and 4,806.85

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Solution

The fourth proportional to 5,482.09, 7,541.37 and 4,806.85 is: 6,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.09 : 7,541.37 = 4,806.85 : x
  2. Step 2: Convert to fraction form
    5,482.09/7,541.37 = 4,806.85/x
  3. Step 3: Cross multiply
    5,482.09x = 7,541.37 × 4,806.85
  4. Step 4: Simplify right side
    5,482.09x = 36,250,234.38
  5. Step 5: Solve for x
    x = 36,250,234.38/5,482.09
  6. Step 6: Final answer
    x = 6,612.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.