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Finding the Fourth Proportional to 3,349, 4,621.48 and 1,857

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Solution

The fourth proportional to 3,349, 4,621.48 and 1,857 is: 2,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349 : 4,621.48 = 1,857 : x
  2. Step 2: Convert to fraction form
    3,349/4,621.48 = 1,857/x
  3. Step 3: Cross multiply
    3,349x = 4,621.48 × 1,857
  4. Step 4: Simplify right side
    3,349x = 8,582,088.36
  5. Step 5: Solve for x
    x = 8,582,088.36/3,349
  6. Step 6: Final answer
    x = 2,562.58

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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.