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Finding the Fourth Proportional to 5,099.64, 7,676.34 and 4,347.96

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Solution

The fourth proportional to 5,099.64, 7,676.34 and 4,347.96 is: 6,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.64 : 7,676.34 = 4,347.96 : x
  2. Step 2: Convert to fraction form
    5,099.64/7,676.34 = 4,347.96/x
  3. Step 3: Cross multiply
    5,099.64x = 7,676.34 × 4,347.96
  4. Step 4: Simplify right side
    5,099.64x = 33,376,419.27
  5. Step 5: Solve for x
    x = 33,376,419.27/5,099.64
  6. Step 6: Final answer
    x = 6,544.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.