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Finding the Fourth Proportional to 5,764.30, 7,954.41 and 3,406.66

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Solution

The fourth proportional to 5,764.30, 7,954.41 and 3,406.66 is: 4,701.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.30 : 7,954.41 = 3,406.66 : x
  2. Step 2: Convert to fraction form
    5,764.30/7,954.41 = 3,406.66/x
  3. Step 3: Cross multiply
    5,764.30x = 7,954.41 × 3,406.66
  4. Step 4: Simplify right side
    5,764.30x = 27,097,970.37
  5. Step 5: Solve for x
    x = 27,097,970.37/5,764.30
  6. Step 6: Final answer
    x = 4,701.00

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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.