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Finding the Fourth Proportional to 3,343.68, 5,017.95 and 2,857.68

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Solution

The fourth proportional to 3,343.68, 5,017.95 and 2,857.68 is: 4,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.68 : 5,017.95 = 2,857.68 : x
  2. Step 2: Convert to fraction form
    3,343.68/5,017.95 = 2,857.68/x
  3. Step 3: Cross multiply
    3,343.68x = 5,017.95 × 2,857.68
  4. Step 4: Simplify right side
    3,343.68x = 14,339,695.36
  5. Step 5: Solve for x
    x = 14,339,695.36/3,343.68
  6. Step 6: Final answer
    x = 4,288.60

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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.