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Finding the Fourth Proportional to 5,764.23, 7,954.22 and 3,405.93

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Solution

The fourth proportional to 5,764.23, 7,954.22 and 3,405.93 is: 4,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.23 : 7,954.22 = 3,405.93 : x
  2. Step 2: Convert to fraction form
    5,764.23/7,954.22 = 3,405.93/x
  3. Step 3: Cross multiply
    5,764.23x = 7,954.22 × 3,405.93
  4. Step 4: Simplify right side
    5,764.23x = 27,091,499.49
  5. Step 5: Solve for x
    x = 27,091,499.49/5,764.23
  6. Step 6: Final answer
    x = 4,699.93

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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.