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Finding the Fourth Proportional to 3,184.00, 4,393.92 and 1,857.44

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Solution

The fourth proportional to 3,184.00, 4,393.92 and 1,857.44 is: 2,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.00 : 4,393.92 = 1,857.44 : x
  2. Step 2: Convert to fraction form
    3,184.00/4,393.92 = 1,857.44/x
  3. Step 3: Cross multiply
    3,184.00x = 4,393.92 × 1,857.44
  4. Step 4: Simplify right side
    3,184.00x = 8,161,461.67
  5. Step 5: Solve for x
    x = 8,161,461.67/3,184.00
  6. Step 6: Final answer
    x = 2,563.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.