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Finding the Fourth Proportional to 5,764.55, 7,954.76 and 3,406.91

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Solution

The fourth proportional to 5,764.55, 7,954.76 and 3,406.91 is: 4,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.55 : 7,954.76 = 3,406.91 : x
  2. Step 2: Convert to fraction form
    5,764.55/7,954.76 = 3,406.91/x
  3. Step 3: Cross multiply
    5,764.55x = 7,954.76 × 3,406.91
  4. Step 4: Simplify right side
    5,764.55x = 27,101,134.36
  5. Step 5: Solve for x
    x = 27,101,134.36/5,764.55
  6. Step 6: Final answer
    x = 4,701.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.