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Finding the Fourth Proportional to 5,625.36, 7,763 and 3,267.68

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Solution

The fourth proportional to 5,625.36, 7,763 and 3,267.68 is: 4,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.36 : 7,763 = 3,267.68 : x
  2. Step 2: Convert to fraction form
    5,625.36/7,763 = 3,267.68/x
  3. Step 3: Cross multiply
    5,625.36x = 7,763 × 3,267.68
  4. Step 4: Simplify right side
    5,625.36x = 25,366,999.84
  5. Step 5: Solve for x
    x = 25,366,999.84/5,625.36
  6. Step 6: Final answer
    x = 4,509.40

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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.