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Finding the Fourth Proportional to 3,588, 5,362.75 and 3,235.80

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Solution

The fourth proportional to 3,588, 5,362.75 and 3,235.80 is: 4,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588 : 5,362.75 = 3,235.80 : x
  2. Step 2: Convert to fraction form
    3,588/5,362.75 = 3,235.80/x
  3. Step 3: Cross multiply
    3,588x = 5,362.75 × 3,235.80
  4. Step 4: Simplify right side
    3,588x = 17,352,786.45
  5. Step 5: Solve for x
    x = 17,352,786.45/3,588
  6. Step 6: Final answer
    x = 4,836.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.