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Finding the Fourth Proportional to 5,563.62, 8,346.16 and 2,056.09

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Solution

The fourth proportional to 5,563.62, 8,346.16 and 2,056.09 is: 3,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.62 : 8,346.16 = 2,056.09 : x
  2. Step 2: Convert to fraction form
    5,563.62/8,346.16 = 2,056.09/x
  3. Step 3: Cross multiply
    5,563.62x = 8,346.16 × 2,056.09
  4. Step 4: Simplify right side
    5,563.62x = 17,160,456.11
  5. Step 5: Solve for x
    x = 17,160,456.11/5,563.62
  6. Step 6: Final answer
    x = 3,084.40

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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.