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Finding the Fourth Proportional to 5,310.63, 7,324.83 and 4,094.82

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Solution

The fourth proportional to 5,310.63, 7,324.83 and 4,094.82 is: 5,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.63 : 7,324.83 = 4,094.82 : x
  2. Step 2: Convert to fraction form
    5,310.63/7,324.83 = 4,094.82/x
  3. Step 3: Cross multiply
    5,310.63x = 7,324.83 × 4,094.82
  4. Step 4: Simplify right side
    5,310.63x = 29,993,860.38
  5. Step 5: Solve for x
    x = 29,993,860.38/5,310.63
  6. Step 6: Final answer
    x = 5,647.89

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1.5x scale

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.