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Finding the Fourth Proportional to 5,623.70, 7,759.49 and 3,264.57

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Solution

The fourth proportional to 5,623.70, 7,759.49 and 3,264.57 is: 4,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.70 : 7,759.49 = 3,264.57 : x
  2. Step 2: Convert to fraction form
    5,623.70/7,759.49 = 3,264.57/x
  3. Step 3: Cross multiply
    5,623.70x = 7,759.49 × 3,264.57
  4. Step 4: Simplify right side
    5,623.70x = 25,331,381.95
  5. Step 5: Solve for x
    x = 25,331,381.95/5,623.70
  6. Step 6: Final answer
    x = 4,504.40

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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.