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Finding the Fourth Proportional to 4,593, 6,888.78 and 3,817.98

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Solution

The fourth proportional to 4,593, 6,888.78 and 3,817.98 is: 5,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593 : 6,888.78 = 3,817.98 : x
  2. Step 2: Convert to fraction form
    4,593/6,888.78 = 3,817.98/x
  3. Step 3: Cross multiply
    4,593x = 6,888.78 × 3,817.98
  4. Step 4: Simplify right side
    4,593x = 26,301,224.26
  5. Step 5: Solve for x
    x = 26,301,224.26/4,593
  6. Step 6: Final answer
    x = 5,726.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.