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Finding the Fourth Proportional to 3,406.92, 4,701.60 and 3,289.20

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Solution

The fourth proportional to 3,406.92, 4,701.60 and 3,289.20 is: 4,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.92 : 4,701.60 = 3,289.20 : x
  2. Step 2: Convert to fraction form
    3,406.92/4,701.60 = 3,289.20/x
  3. Step 3: Cross multiply
    3,406.92x = 4,701.60 × 3,289.20
  4. Step 4: Simplify right side
    3,406.92x = 15,464,502.72
  5. Step 5: Solve for x
    x = 15,464,502.72/3,406.92
  6. Step 6: Final answer
    x = 4,539.14

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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.