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Finding the Fourth Proportional to 5,754.56, 8,631.47 and 2,056.60

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Solution

The fourth proportional to 5,754.56, 8,631.47 and 2,056.60 is: 3,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.56 : 8,631.47 = 2,056.60 : x
  2. Step 2: Convert to fraction form
    5,754.56/8,631.47 = 2,056.60/x
  3. Step 3: Cross multiply
    5,754.56x = 8,631.47 × 2,056.60
  4. Step 4: Simplify right side
    5,754.56x = 17,751,464.76
  5. Step 5: Solve for x
    x = 17,751,464.76/5,754.56
  6. Step 6: Final answer
    x = 3,084.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.