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Finding the Fourth Proportional to 4,757.24, 7,130.10 and 4,181.24

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Solution

The fourth proportional to 4,757.24, 7,130.10 and 4,181.24 is: 6,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.24 : 7,130.10 = 4,181.24 : x
  2. Step 2: Convert to fraction form
    4,757.24/7,130.10 = 4,181.24/x
  3. Step 3: Cross multiply
    4,757.24x = 7,130.10 × 4,181.24
  4. Step 4: Simplify right side
    4,757.24x = 29,812,659.32
  5. Step 5: Solve for x
    x = 29,812,659.32/4,757.24
  6. Step 6: Final answer
    x = 6,266.80

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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.