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Finding the Fourth Proportional to 4,785.56, 7,178.34 and 1,823.31

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Solution

The fourth proportional to 4,785.56, 7,178.34 and 1,823.31 is: 2,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.56 : 7,178.34 = 1,823.31 : x
  2. Step 2: Convert to fraction form
    4,785.56/7,178.34 = 1,823.31/x
  3. Step 3: Cross multiply
    4,785.56x = 7,178.34 × 1,823.31
  4. Step 4: Simplify right side
    4,785.56x = 13,088,361.61
  5. Step 5: Solve for x
    x = 13,088,361.61/4,785.56
  6. Step 6: Final answer
    x = 2,734.97

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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.