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Finding the Fourth Proportional to 4,676.36, 7,014.54 and 4,391.24

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Solution

The fourth proportional to 4,676.36, 7,014.54 and 4,391.24 is: 6,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.36 : 7,014.54 = 4,391.24 : x
  2. Step 2: Convert to fraction form
    4,676.36/7,014.54 = 4,391.24/x
  3. Step 3: Cross multiply
    4,676.36x = 7,014.54 × 4,391.24
  4. Step 4: Simplify right side
    4,676.36x = 30,802,528.63
  5. Step 5: Solve for x
    x = 30,802,528.63/4,676.36
  6. Step 6: Final answer
    x = 6,586.86

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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.