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Finding the Fourth Proportional to 5,793, 7,994.34 and 3,309

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Solution

The fourth proportional to 5,793, 7,994.34 and 3,309 is: 4,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793 : 7,994.34 = 3,309 : x
  2. Step 2: Convert to fraction form
    5,793/7,994.34 = 3,309/x
  3. Step 3: Cross multiply
    5,793x = 7,994.34 × 3,309
  4. Step 4: Simplify right side
    5,793x = 26,453,271.06
  5. Step 5: Solve for x
    x = 26,453,271.06/5,793
  6. Step 6: Final answer
    x = 4,566.42

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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.