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Finding the Fourth Proportional to 5,790, 7,989.93 and 3,271.80

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Solution

The fourth proportional to 5,790, 7,989.93 and 3,271.80 is: 4,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790 : 7,989.93 = 3,271.80 : x
  2. Step 2: Convert to fraction form
    5,790/7,989.93 = 3,271.80/x
  3. Step 3: Cross multiply
    5,790x = 7,989.93 × 3,271.80
  4. Step 4: Simplify right side
    5,790x = 26,141,452.97
  5. Step 5: Solve for x
    x = 26,141,452.97/5,790
  6. Step 6: Final answer
    x = 4,514.93

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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.