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Finding the Fourth Proportional to 3,349.71, 4,622.31 and 1,857.60

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Solution

The fourth proportional to 3,349.71, 4,622.31 and 1,857.60 is: 2,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.71 : 4,622.31 = 1,857.60 : x
  2. Step 2: Convert to fraction form
    3,349.71/4,622.31 = 1,857.60/x
  3. Step 3: Cross multiply
    3,349.71x = 4,622.31 × 1,857.60
  4. Step 4: Simplify right side
    3,349.71x = 8,586,403.06
  5. Step 5: Solve for x
    x = 8,586,403.06/3,349.71
  6. Step 6: Final answer
    x = 2,563.33

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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.