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Finding the Fourth Proportional to 4,322.88, 5,965.92 and 3,323.52

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Solution

The fourth proportional to 4,322.88, 5,965.92 and 3,323.52 is: 4,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.88 : 5,965.92 = 3,323.52 : x
  2. Step 2: Convert to fraction form
    4,322.88/5,965.92 = 3,323.52/x
  3. Step 3: Cross multiply
    4,322.88x = 5,965.92 × 3,323.52
  4. Step 4: Simplify right side
    4,322.88x = 19,827,854.44
  5. Step 5: Solve for x
    x = 19,827,854.44/4,322.88
  6. Step 6: Final answer
    x = 4,586.72

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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.