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Finding the Fourth Proportional to 5,955.92, 8,218.58 and 3,438.84

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Solution

The fourth proportional to 5,955.92, 8,218.58 and 3,438.84 is: 4,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,955.92 : 8,218.58 = 3,438.84 : x
  2. Step 2: Convert to fraction form
    5,955.92/8,218.58 = 3,438.84/x
  3. Step 3: Cross multiply
    5,955.92x = 8,218.58 × 3,438.84
  4. Step 4: Simplify right side
    5,955.92x = 28,262,364.45
  5. Step 5: Solve for x
    x = 28,262,364.45/5,955.92
  6. Step 6: Final answer
    x = 4,745.26

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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.