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Finding the Fourth Proportional to 3,439.60, 4,746.60 and 1,947.51

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Solution

The fourth proportional to 3,439.60, 4,746.60 and 1,947.51 is: 2,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.60 : 4,746.60 = 1,947.51 : x
  2. Step 2: Convert to fraction form
    3,439.60/4,746.60 = 1,947.51/x
  3. Step 3: Cross multiply
    3,439.60x = 4,746.60 × 1,947.51
  4. Step 4: Simplify right side
    3,439.60x = 9,244,050.97
  5. Step 5: Solve for x
    x = 9,244,050.97/3,439.60
  6. Step 6: Final answer
    x = 2,687.54

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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.