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Finding the Fourth Proportional to 4,600.25, 6,352.56 and 2,922.20

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Solution

The fourth proportional to 4,600.25, 6,352.56 and 2,922.20 is: 4,035.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.25 : 6,352.56 = 2,922.20 : x
  2. Step 2: Convert to fraction form
    4,600.25/6,352.56 = 2,922.20/x
  3. Step 3: Cross multiply
    4,600.25x = 6,352.56 × 2,922.20
  4. Step 4: Simplify right side
    4,600.25x = 18,563,419.07
  5. Step 5: Solve for x
    x = 18,563,419.07/4,600.25
  6. Step 6: Final answer
    x = 4,035.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.