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Finding the Fourth Proportional to 5,782.49, 7,977.85 and 3,264.29

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Solution

The fourth proportional to 5,782.49, 7,977.85 and 3,264.29 is: 4,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.49 : 7,977.85 = 3,264.29 : x
  2. Step 2: Convert to fraction form
    5,782.49/7,977.85 = 3,264.29/x
  3. Step 3: Cross multiply
    5,782.49x = 7,977.85 × 3,264.29
  4. Step 4: Simplify right side
    5,782.49x = 26,042,015.98
  5. Step 5: Solve for x
    x = 26,042,015.98/5,782.49
  6. Step 6: Final answer
    x = 4,503.60

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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.