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Finding the Fourth Proportional to 3,428.64, 4,720.08 and 3,271.92

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Solution

The fourth proportional to 3,428.64, 4,720.08 and 3,271.92 is: 4,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.64 : 4,720.08 = 3,271.92 : x
  2. Step 2: Convert to fraction form
    3,428.64/4,720.08 = 3,271.92/x
  3. Step 3: Cross multiply
    3,428.64x = 4,720.08 × 3,271.92
  4. Step 4: Simplify right side
    3,428.64x = 15,443,724.15
  5. Step 5: Solve for x
    x = 15,443,724.15/3,428.64
  6. Step 6: Final answer
    x = 4,504.33

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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.