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Finding the Fourth Proportional to 5,828.90, 8,044.07 and 3,176.37

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Solution

The fourth proportional to 5,828.90, 8,044.07 and 3,176.37 is: 4,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.90 : 8,044.07 = 3,176.37 : x
  2. Step 2: Convert to fraction form
    5,828.90/8,044.07 = 3,176.37/x
  3. Step 3: Cross multiply
    5,828.90x = 8,044.07 × 3,176.37
  4. Step 4: Simplify right side
    5,828.90x = 25,550,926.74
  5. Step 5: Solve for x
    x = 25,550,926.74/5,828.90
  6. Step 6: Final answer
    x = 4,383.49

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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.