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Finding the Fourth Proportional to 5,564.96, 8,348.16 and 2,103.20

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Solution

The fourth proportional to 5,564.96, 8,348.16 and 2,103.20 is: 3,155.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.96 : 8,348.16 = 2,103.20 : x
  2. Step 2: Convert to fraction form
    5,564.96/8,348.16 = 2,103.20/x
  3. Step 3: Cross multiply
    5,564.96x = 8,348.16 × 2,103.20
  4. Step 4: Simplify right side
    5,564.96x = 17,557,850.11
  5. Step 5: Solve for x
    x = 17,557,850.11/5,564.96
  6. Step 6: Final answer
    x = 3,155.07

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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.