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Finding the Fourth Proportional to 5,764.20, 7,954.29 and 3,405.48

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Solution

The fourth proportional to 5,764.20, 7,954.29 and 3,405.48 is: 4,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.20 : 7,954.29 = 3,405.48 : x
  2. Step 2: Convert to fraction form
    5,764.20/7,954.29 = 3,405.48/x
  3. Step 3: Cross multiply
    5,764.20x = 7,954.29 × 3,405.48
  4. Step 4: Simplify right side
    5,764.20x = 27,088,175.51
  5. Step 5: Solve for x
    x = 27,088,175.51/5,764.20
  6. Step 6: Final answer
    x = 4,699.38

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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.