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Finding the Fourth Proportional to 5,046.96, 7,576.74 and 3,410.76

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Solution

The fourth proportional to 5,046.96, 7,576.74 and 3,410.76 is: 5,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.96 : 7,576.74 = 3,410.76 : x
  2. Step 2: Convert to fraction form
    5,046.96/7,576.74 = 3,410.76/x
  3. Step 3: Cross multiply
    5,046.96x = 7,576.74 × 3,410.76
  4. Step 4: Simplify right side
    5,046.96x = 25,842,441.72
  5. Step 5: Solve for x
    x = 25,842,441.72/5,046.96
  6. Step 6: Final answer
    x = 5,120.40

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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.