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Finding the Fourth Proportional to 5,826.56, 8,734.56 and 2,905.76

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Solution

The fourth proportional to 5,826.56, 8,734.56 and 2,905.76 is: 4,356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.56 : 8,734.56 = 2,905.76 : x
  2. Step 2: Convert to fraction form
    5,826.56/8,734.56 = 2,905.76/x
  3. Step 3: Cross multiply
    5,826.56x = 8,734.56 × 2,905.76
  4. Step 4: Simplify right side
    5,826.56x = 25,380,535.07
  5. Step 5: Solve for x
    x = 25,380,535.07/5,826.56
  6. Step 6: Final answer
    x = 4,356.01

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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.