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Finding the Fourth Proportional to 5,135.34, 7,704.94 and 3,056.54

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Solution

The fourth proportional to 5,135.34, 7,704.94 and 3,056.54 is: 4,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.34 : 7,704.94 = 3,056.54 : x
  2. Step 2: Convert to fraction form
    5,135.34/7,704.94 = 3,056.54/x
  3. Step 3: Cross multiply
    5,135.34x = 7,704.94 × 3,056.54
  4. Step 4: Simplify right side
    5,135.34x = 23,550,457.31
  5. Step 5: Solve for x
    x = 23,550,457.31/5,135.34
  6. Step 6: Final answer
    x = 4,585.96

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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.