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Finding the Fourth Proportional to 5,634.56, 8,453.54 and 1,685.95

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Solution

The fourth proportional to 5,634.56, 8,453.54 and 1,685.95 is: 2,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.56 : 8,453.54 = 1,685.95 : x
  2. Step 2: Convert to fraction form
    5,634.56/8,453.54 = 1,685.95/x
  3. Step 3: Cross multiply
    5,634.56x = 8,453.54 × 1,685.95
  4. Step 4: Simplify right side
    5,634.56x = 14,252,259.77
  5. Step 5: Solve for x
    x = 14,252,259.77/5,634.56
  6. Step 6: Final answer
    x = 2,529.44

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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.