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Finding the Fourth Proportional to 3,349.23, 4,621.77 and 1,857.14

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Solution

The fourth proportional to 3,349.23, 4,621.77 and 1,857.14 is: 2,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.23 : 4,621.77 = 1,857.14 : x
  2. Step 2: Convert to fraction form
    3,349.23/4,621.77 = 1,857.14/x
  3. Step 3: Cross multiply
    3,349.23x = 4,621.77 × 1,857.14
  4. Step 4: Simplify right side
    3,349.23x = 8,583,250.83
  5. Step 5: Solve for x
    x = 8,583,250.83/3,349.23
  6. Step 6: Final answer
    x = 2,562.75

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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.