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Finding the Fourth Proportional to 3,423.92, 4,727.64 and 2,837.84

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Solution

The fourth proportional to 3,423.92, 4,727.64 and 2,837.84 is: 3,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.92 : 4,727.64 = 2,837.84 : x
  2. Step 2: Convert to fraction form
    3,423.92/4,727.64 = 2,837.84/x
  3. Step 3: Cross multiply
    3,423.92x = 4,727.64 × 2,837.84
  4. Step 4: Simplify right side
    3,423.92x = 13,416,285.90
  5. Step 5: Solve for x
    x = 13,416,285.90/3,423.92
  6. Step 6: Final answer
    x = 3,918.40

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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.