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Finding the Fourth Proportional to 5,676.84, 7,833.60 and 3,158.89

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Solution

The fourth proportional to 5,676.84, 7,833.60 and 3,158.89 is: 4,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.84 : 7,833.60 = 3,158.89 : x
  2. Step 2: Convert to fraction form
    5,676.84/7,833.60 = 3,158.89/x
  3. Step 3: Cross multiply
    5,676.84x = 7,833.60 × 3,158.89
  4. Step 4: Simplify right side
    5,676.84x = 24,745,461.12
  5. Step 5: Solve for x
    x = 24,745,461.12/5,676.84
  6. Step 6: Final answer
    x = 4,359.02

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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.