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Finding the Fourth Proportional to 5,804.82, 7,992.44 and 5,122.76

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Solution

The fourth proportional to 5,804.82, 7,992.44 and 5,122.76 is: 7,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.82 : 7,992.44 = 5,122.76 : x
  2. Step 2: Convert to fraction form
    5,804.82/7,992.44 = 5,122.76/x
  3. Step 3: Cross multiply
    5,804.82x = 7,992.44 × 5,122.76
  4. Step 4: Simplify right side
    5,804.82x = 40,943,324.78
  5. Step 5: Solve for x
    x = 40,943,324.78/5,804.82
  6. Step 6: Final answer
    x = 7,053.33

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Double scale
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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.