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Finding the Fourth Proportional to 5,763.00, 7,952.86 and 3,245.35

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Solution

The fourth proportional to 5,763.00, 7,952.86 and 3,245.35 is: 4,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.00 : 7,952.86 = 3,245.35 : x
  2. Step 2: Convert to fraction form
    5,763.00/7,952.86 = 3,245.35/x
  3. Step 3: Cross multiply
    5,763.00x = 7,952.86 × 3,245.35
  4. Step 4: Simplify right side
    5,763.00x = 25,809,817.40
  5. Step 5: Solve for x
    x = 25,809,817.40/5,763.00
  6. Step 6: Final answer
    x = 4,478.54

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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.