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Finding the Fourth Proportional to 3,452.28, 4,784.28 and 3,386.64

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Solution

The fourth proportional to 3,452.28, 4,784.28 and 3,386.64 is: 4,693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.28 : 4,784.28 = 3,386.64 : x
  2. Step 2: Convert to fraction form
    3,452.28/4,784.28 = 3,386.64/x
  3. Step 3: Cross multiply
    3,452.28x = 4,784.28 × 3,386.64
  4. Step 4: Simplify right side
    3,452.28x = 16,202,634.02
  5. Step 5: Solve for x
    x = 16,202,634.02/3,452.28
  6. Step 6: Final answer
    x = 4,693.31

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.