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Finding the Fourth Proportional to 3,349.64, 4,622.74 and 1,857.70

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Solution

The fourth proportional to 3,349.64, 4,622.74 and 1,857.70 is: 2,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.64 : 4,622.74 = 1,857.70 : x
  2. Step 2: Convert to fraction form
    3,349.64/4,622.74 = 1,857.70/x
  3. Step 3: Cross multiply
    3,349.64x = 4,622.74 × 1,857.70
  4. Step 4: Simplify right side
    3,349.64x = 8,587,664.10
  5. Step 5: Solve for x
    x = 8,587,664.10/3,349.64
  6. Step 6: Final answer
    x = 2,563.76

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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.