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Finding the Fourth Proportional to 4,655.94, 6,427.92 and 3,239.22

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Solution

The fourth proportional to 4,655.94, 6,427.92 and 3,239.22 is: 4,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.94 : 6,427.92 = 3,239.22 : x
  2. Step 2: Convert to fraction form
    4,655.94/6,427.92 = 3,239.22/x
  3. Step 3: Cross multiply
    4,655.94x = 6,427.92 × 3,239.22
  4. Step 4: Simplify right side
    4,655.94x = 20,821,447.02
  5. Step 5: Solve for x
    x = 20,821,447.02/4,655.94
  6. Step 6: Final answer
    x = 4,472.02

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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.