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Finding the Fourth Proportional to 5,764.82, 7,954.74 and 3,406.50

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Solution

The fourth proportional to 5,764.82, 7,954.74 and 3,406.50 is: 4,700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.82 : 7,954.74 = 3,406.50 : x
  2. Step 2: Convert to fraction form
    5,764.82/7,954.74 = 3,406.50/x
  3. Step 3: Cross multiply
    5,764.82x = 7,954.74 × 3,406.50
  4. Step 4: Simplify right side
    5,764.82x = 27,097,821.81
  5. Step 5: Solve for x
    x = 27,097,821.81/5,764.82
  6. Step 6: Final answer
    x = 4,700.55

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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.