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Finding the Fourth Proportional to 3,209.64, 4,813.32 and 1,129.20

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Solution

The fourth proportional to 3,209.64, 4,813.32 and 1,129.20 is: 1,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.64 : 4,813.32 = 1,129.20 : x
  2. Step 2: Convert to fraction form
    3,209.64/4,813.32 = 1,129.20/x
  3. Step 3: Cross multiply
    3,209.64x = 4,813.32 × 1,129.20
  4. Step 4: Simplify right side
    3,209.64x = 5,435,200.94
  5. Step 5: Solve for x
    x = 5,435,200.94/3,209.64
  6. Step 6: Final answer
    x = 1,693.40

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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.