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Finding the Fourth Proportional to 5,878.48, 8,813.09 and 4,023.97

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Solution

The fourth proportional to 5,878.48, 8,813.09 and 4,023.97 is: 6,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.48 : 8,813.09 = 4,023.97 : x
  2. Step 2: Convert to fraction form
    5,878.48/8,813.09 = 4,023.97/x
  3. Step 3: Cross multiply
    5,878.48x = 8,813.09 × 4,023.97
  4. Step 4: Simplify right side
    5,878.48x = 35,463,597.79
  5. Step 5: Solve for x
    x = 35,463,597.79/5,878.48
  6. Step 6: Final answer
    x = 6,032.79

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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.