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Finding the Fourth Proportional to 5,669.88, 7,825.38 and 3,152.80

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Solution

The fourth proportional to 5,669.88, 7,825.38 and 3,152.80 is: 4,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.88 : 7,825.38 = 3,152.80 : x
  2. Step 2: Convert to fraction form
    5,669.88/7,825.38 = 3,152.80/x
  3. Step 3: Cross multiply
    5,669.88x = 7,825.38 × 3,152.80
  4. Step 4: Simplify right side
    5,669.88x = 24,671,858.06
  5. Step 5: Solve for x
    x = 24,671,858.06/5,669.88
  6. Step 6: Final answer
    x = 4,351.39

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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.