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Finding the Fourth Proportional to 5,828.24, 8,043 and 3,175.68

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Solution

The fourth proportional to 5,828.24, 8,043 and 3,175.68 is: 4,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.24 : 8,043 = 3,175.68 : x
  2. Step 2: Convert to fraction form
    5,828.24/8,043 = 3,175.68/x
  3. Step 3: Cross multiply
    5,828.24x = 8,043 × 3,175.68
  4. Step 4: Simplify right side
    5,828.24x = 25,541,994.24
  5. Step 5: Solve for x
    x = 25,541,994.24/5,828.24
  6. Step 6: Final answer
    x = 4,382.45

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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.