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Finding the Fourth Proportional to 5,884.76, 8,826.87 and 1,724.60

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Solution

The fourth proportional to 5,884.76, 8,826.87 and 1,724.60 is: 2,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.76 : 8,826.87 = 1,724.60 : x
  2. Step 2: Convert to fraction form
    5,884.76/8,826.87 = 1,724.60/x
  3. Step 3: Cross multiply
    5,884.76x = 8,826.87 × 1,724.60
  4. Step 4: Simplify right side
    5,884.76x = 15,222,820.00
  5. Step 5: Solve for x
    x = 15,222,820.00/5,884.76
  6. Step 6: Final answer
    x = 2,586.82

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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.