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Finding the Fourth Proportional to 5,764.11, 7,954.56 and 3,406.47

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Solution

The fourth proportional to 5,764.11, 7,954.56 and 3,406.47 is: 4,700.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.11 : 7,954.56 = 3,406.47 : x
  2. Step 2: Convert to fraction form
    5,764.11/7,954.56 = 3,406.47/x
  3. Step 3: Cross multiply
    5,764.11x = 7,954.56 × 3,406.47
  4. Step 4: Simplify right side
    5,764.11x = 27,096,970.00
  5. Step 5: Solve for x
    x = 27,096,970.00/5,764.11
  6. Step 6: Final answer
    x = 4,700.98

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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.