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Finding the Fourth Proportional to 5,828.95, 8,043.95 and 3,176.36

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Solution

The fourth proportional to 5,828.95, 8,043.95 and 3,176.36 is: 4,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.95 : 8,043.95 = 3,176.36 : x
  2. Step 2: Convert to fraction form
    5,828.95/8,043.95 = 3,176.36/x
  3. Step 3: Cross multiply
    5,828.95x = 8,043.95 × 3,176.36
  4. Step 4: Simplify right side
    5,828.95x = 25,550,481.02
  5. Step 5: Solve for x
    x = 25,550,481.02/5,828.95
  6. Step 6: Final answer
    x = 4,383.38

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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.