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Finding the Fourth Proportional to 5,764.66, 7,955.35 and 3,212.57

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Solution

The fourth proportional to 5,764.66, 7,955.35 and 3,212.57 is: 4,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.66 : 7,955.35 = 3,212.57 : x
  2. Step 2: Convert to fraction form
    5,764.66/7,955.35 = 3,212.57/x
  3. Step 3: Cross multiply
    5,764.66x = 7,955.35 × 3,212.57
  4. Step 4: Simplify right side
    5,764.66x = 25,557,155.35
  5. Step 5: Solve for x
    x = 25,557,155.35/5,764.66
  6. Step 6: Final answer
    x = 4,433.42

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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.