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Finding the Fourth Proportional to 4,781.56, 7,168.04 and 1,857.84

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Solution

The fourth proportional to 4,781.56, 7,168.04 and 1,857.84 is: 2,785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.56 : 7,168.04 = 1,857.84 : x
  2. Step 2: Convert to fraction form
    4,781.56/7,168.04 = 1,857.84/x
  3. Step 3: Cross multiply
    4,781.56x = 7,168.04 × 1,857.84
  4. Step 4: Simplify right side
    4,781.56x = 13,317,071.43
  5. Step 5: Solve for x
    x = 13,317,071.43/4,781.56
  6. Step 6: Final answer
    x = 2,785.09

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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.