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Finding the Fourth Proportional to 4,546.88, 6,822.06 and 1,775.52

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Solution

The fourth proportional to 4,546.88, 6,822.06 and 1,775.52 is: 2,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.88 : 6,822.06 = 1,775.52 : x
  2. Step 2: Convert to fraction form
    4,546.88/6,822.06 = 1,775.52/x
  3. Step 3: Cross multiply
    4,546.88x = 6,822.06 × 1,775.52
  4. Step 4: Simplify right side
    4,546.88x = 12,112,703.97
  5. Step 5: Solve for x
    x = 12,112,703.97/4,546.88
  6. Step 6: Final answer
    x = 2,663.96

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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.