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Finding the Fourth Proportional to 5,826.44, 8,723.04 and 5,458.58

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Solution

The fourth proportional to 5,826.44, 8,723.04 and 5,458.58 is: 8,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.44 : 8,723.04 = 5,458.58 : x
  2. Step 2: Convert to fraction form
    5,826.44/8,723.04 = 5,458.58/x
  3. Step 3: Cross multiply
    5,826.44x = 8,723.04 × 5,458.58
  4. Step 4: Simplify right side
    5,826.44x = 47,615,411.68
  5. Step 5: Solve for x
    x = 47,615,411.68/5,826.44
  6. Step 6: Final answer
    x = 8,172.30

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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.