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Finding the Fourth Proportional to 5,826.32, 8,736.80 and 2,126

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Solution

The fourth proportional to 5,826.32, 8,736.80 and 2,126 is: 3,188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.32 : 8,736.80 = 2,126 : x
  2. Step 2: Convert to fraction form
    5,826.32/8,736.80 = 2,126/x
  3. Step 3: Cross multiply
    5,826.32x = 8,736.80 × 2,126
  4. Step 4: Simplify right side
    5,826.32x = 18,574,436.80
  5. Step 5: Solve for x
    x = 18,574,436.80/5,826.32
  6. Step 6: Final answer
    x = 3,188.02

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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.