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Finding the Fourth Proportional to 5,764.53, 7,954.66 and 3,406.22

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Solution

The fourth proportional to 5,764.53, 7,954.66 and 3,406.22 is: 4,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.53 : 7,954.66 = 3,406.22 : x
  2. Step 2: Convert to fraction form
    5,764.53/7,954.66 = 3,406.22/x
  3. Step 3: Cross multiply
    5,764.53x = 7,954.66 × 3,406.22
  4. Step 4: Simplify right side
    5,764.53x = 27,095,297.14
  5. Step 5: Solve for x
    x = 27,095,297.14/5,764.53
  6. Step 6: Final answer
    x = 4,700.34

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1.5x scale

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.