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Finding the Fourth Proportional to 4,609.28, 6,909.19 and 1,832.19

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Solution

The fourth proportional to 4,609.28, 6,909.19 and 1,832.19 is: 2,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.28 : 6,909.19 = 1,832.19 : x
  2. Step 2: Convert to fraction form
    4,609.28/6,909.19 = 1,832.19/x
  3. Step 3: Cross multiply
    4,609.28x = 6,909.19 × 1,832.19
  4. Step 4: Simplify right side
    4,609.28x = 12,658,944.25
  5. Step 5: Solve for x
    x = 12,658,944.25/4,609.28
  6. Step 6: Final answer
    x = 2,746.41

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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.