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Finding the Fourth Proportional to 5,794.66, 7,992.38 and 3,804.49

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Solution

The fourth proportional to 5,794.66, 7,992.38 and 3,804.49 is: 5,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.66 : 7,992.38 = 3,804.49 : x
  2. Step 2: Convert to fraction form
    5,794.66/7,992.38 = 3,804.49/x
  3. Step 3: Cross multiply
    5,794.66x = 7,992.38 × 3,804.49
  4. Step 4: Simplify right side
    5,794.66x = 30,406,929.79
  5. Step 5: Solve for x
    x = 30,406,929.79/5,794.66
  6. Step 6: Final answer
    x = 5,247.41

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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.