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Finding the Fourth Proportional to 4,517.37, 6,777.28 and 1,884.00

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Solution

The fourth proportional to 4,517.37, 6,777.28 and 1,884.00 is: 2,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.37 : 6,777.28 = 1,884.00 : x
  2. Step 2: Convert to fraction form
    4,517.37/6,777.28 = 1,884.00/x
  3. Step 3: Cross multiply
    4,517.37x = 6,777.28 × 1,884.00
  4. Step 4: Simplify right side
    4,517.37x = 12,768,423.29
  5. Step 5: Solve for x
    x = 12,768,423.29/4,517.37
  6. Step 6: Final answer
    x = 2,826.52

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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.