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Finding the Fourth Proportional to 5,676.81, 7,834.26 and 4,731.02

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Solution

The fourth proportional to 5,676.81, 7,834.26 and 4,731.02 is: 6,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.81 : 7,834.26 = 4,731.02 : x
  2. Step 2: Convert to fraction form
    5,676.81/7,834.26 = 4,731.02/x
  3. Step 3: Cross multiply
    5,676.81x = 7,834.26 × 4,731.02
  4. Step 4: Simplify right side
    5,676.81x = 37,064,040.75
  5. Step 5: Solve for x
    x = 37,064,040.75/5,676.81
  6. Step 6: Final answer
    x = 6,529.03

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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.