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Finding the Fourth Proportional to 5,144.55, 7,716.80 and 1,857.63

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Solution

The fourth proportional to 5,144.55, 7,716.80 and 1,857.63 is: 2,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.55 : 7,716.80 = 1,857.63 : x
  2. Step 2: Convert to fraction form
    5,144.55/7,716.80 = 1,857.63/x
  3. Step 3: Cross multiply
    5,144.55x = 7,716.80 × 1,857.63
  4. Step 4: Simplify right side
    5,144.55x = 14,334,992.77
  5. Step 5: Solve for x
    x = 14,334,992.77/5,144.55
  6. Step 6: Final answer
    x = 2,786.44

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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.