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Finding the Fourth Proportional to 5,256.99, 7,862.24 and 4,676.07

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Solution

The fourth proportional to 5,256.99, 7,862.24 and 4,676.07 is: 6,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.99 : 7,862.24 = 4,676.07 : x
  2. Step 2: Convert to fraction form
    5,256.99/7,862.24 = 4,676.07/x
  3. Step 3: Cross multiply
    5,256.99x = 7,862.24 × 4,676.07
  4. Step 4: Simplify right side
    5,256.99x = 36,764,321.91
  5. Step 5: Solve for x
    x = 36,764,321.91/5,256.99
  6. Step 6: Final answer
    x = 6,993.42

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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.