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Finding the Fourth Proportional to 4,245.60, 6,366.84 and 1,471.56

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Solution

The fourth proportional to 4,245.60, 6,366.84 and 1,471.56 is: 2,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,245.60 : 6,366.84 = 1,471.56 : x
  2. Step 2: Convert to fraction form
    4,245.60/6,366.84 = 1,471.56/x
  3. Step 3: Cross multiply
    4,245.60x = 6,366.84 × 1,471.56
  4. Step 4: Simplify right side
    4,245.60x = 9,369,187.07
  5. Step 5: Solve for x
    x = 9,369,187.07/4,245.60
  6. Step 6: Final answer
    x = 2,206.80

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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.