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Finding the Fourth Proportional to 4,546.88, 6,810.24 and 2,811.68

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Solution

The fourth proportional to 4,546.88, 6,810.24 and 2,811.68 is: 4,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.88 : 6,810.24 = 2,811.68 : x
  2. Step 2: Convert to fraction form
    4,546.88/6,810.24 = 2,811.68/x
  3. Step 3: Cross multiply
    4,546.88x = 6,810.24 × 2,811.68
  4. Step 4: Simplify right side
    4,546.88x = 19,148,215.60
  5. Step 5: Solve for x
    x = 19,148,215.60/4,546.88
  6. Step 6: Final answer
    x = 4,211.29

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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.