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Finding the Fourth Proportional to 5,764.76, 7,955.42 and 3,246.38

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Solution

The fourth proportional to 5,764.76, 7,955.42 and 3,246.38 is: 4,480.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.76 : 7,955.42 = 3,246.38 : x
  2. Step 2: Convert to fraction form
    5,764.76/7,955.42 = 3,246.38/x
  3. Step 3: Cross multiply
    5,764.76x = 7,955.42 × 3,246.38
  4. Step 4: Simplify right side
    5,764.76x = 25,826,316.38
  5. Step 5: Solve for x
    x = 25,826,316.38/5,764.76
  6. Step 6: Final answer
    x = 4,480.03

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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.