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Finding the Fourth Proportional to 6,182.88, 8,532.40 and 3,388.64

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Solution

The fourth proportional to 6,182.88, 8,532.40 and 3,388.64 is: 4,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.88 : 8,532.40 = 3,388.64 : x
  2. Step 2: Convert to fraction form
    6,182.88/8,532.40 = 3,388.64/x
  3. Step 3: Cross multiply
    6,182.88x = 8,532.40 × 3,388.64
  4. Step 4: Simplify right side
    6,182.88x = 28,913,231.94
  5. Step 5: Solve for x
    x = 28,913,231.94/6,182.88
  6. Step 6: Final answer
    x = 4,676.34

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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.