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Finding the Fourth Proportional to 5,142.58, 7,713.86 and 1,855.62

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Solution

The fourth proportional to 5,142.58, 7,713.86 and 1,855.62 is: 2,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.58 : 7,713.86 = 1,855.62 : x
  2. Step 2: Convert to fraction form
    5,142.58/7,713.86 = 1,855.62/x
  3. Step 3: Cross multiply
    5,142.58x = 7,713.86 × 1,855.62
  4. Step 4: Simplify right side
    5,142.58x = 14,313,992.89
  5. Step 5: Solve for x
    x = 14,313,992.89/5,142.58
  6. Step 6: Final answer
    x = 2,783.43

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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.