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Finding the Fourth Proportional to 5,828.09, 8,745.78 and 2,365.34

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Solution

The fourth proportional to 5,828.09, 8,745.78 and 2,365.34 is: 3,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.09 : 8,745.78 = 2,365.34 : x
  2. Step 2: Convert to fraction form
    5,828.09/8,745.78 = 2,365.34/x
  3. Step 3: Cross multiply
    5,828.09x = 8,745.78 × 2,365.34
  4. Step 4: Simplify right side
    5,828.09x = 20,686,771.04
  5. Step 5: Solve for x
    x = 20,686,771.04/5,828.09
  6. Step 6: Final answer
    x = 3,549.49

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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.