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Finding the Fourth Proportional to 4,564.78, 6,852.22 and 3,272.02

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Solution

The fourth proportional to 4,564.78, 6,852.22 and 3,272.02 is: 4,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.78 : 6,852.22 = 3,272.02 : x
  2. Step 2: Convert to fraction form
    4,564.78/6,852.22 = 3,272.02/x
  3. Step 3: Cross multiply
    4,564.78x = 6,852.22 × 3,272.02
  4. Step 4: Simplify right side
    4,564.78x = 22,420,600.88
  5. Step 5: Solve for x
    x = 22,420,600.88/4,564.78
  6. Step 6: Final answer
    x = 4,911.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.