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Finding the Fourth Proportional to 4,326.44, 5,969.52 and 2,558

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Solution

The fourth proportional to 4,326.44, 5,969.52 and 2,558 is: 3,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.44 : 5,969.52 = 2,558 : x
  2. Step 2: Convert to fraction form
    4,326.44/5,969.52 = 2,558/x
  3. Step 3: Cross multiply
    4,326.44x = 5,969.52 × 2,558
  4. Step 4: Simplify right side
    4,326.44x = 15,270,032.16
  5. Step 5: Solve for x
    x = 15,270,032.16/4,326.44
  6. Step 6: Final answer
    x = 3,529.47

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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.