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Finding the Fourth Proportional to 3,952.54, 5,928.32 and 3,298.58

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Solution

The fourth proportional to 3,952.54, 5,928.32 and 3,298.58 is: 4,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.54 : 5,928.32 = 3,298.58 : x
  2. Step 2: Convert to fraction form
    3,952.54/5,928.32 = 3,298.58/x
  3. Step 3: Cross multiply
    3,952.54x = 5,928.32 × 3,298.58
  4. Step 4: Simplify right side
    3,952.54x = 19,555,037.79
  5. Step 5: Solve for x
    x = 19,555,037.79/3,952.54
  6. Step 6: Final answer
    x = 4,947.46

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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.