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Finding the Fourth Proportional to 5,676.08, 7,830.96 and 3,192.08

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Solution

The fourth proportional to 5,676.08, 7,830.96 and 3,192.08 is: 4,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.08 : 7,830.96 = 3,192.08 : x
  2. Step 2: Convert to fraction form
    5,676.08/7,830.96 = 3,192.08/x
  3. Step 3: Cross multiply
    5,676.08x = 7,830.96 × 3,192.08
  4. Step 4: Simplify right side
    5,676.08x = 24,997,050.80
  5. Step 5: Solve for x
    x = 24,997,050.80/5,676.08
  6. Step 6: Final answer
    x = 4,403.93

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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.