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Finding the Fourth Proportional to 4,734.62, 6,533.78 and 2,746.33

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Solution

The fourth proportional to 4,734.62, 6,533.78 and 2,746.33 is: 3,789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.62 : 6,533.78 = 2,746.33 : x
  2. Step 2: Convert to fraction form
    4,734.62/6,533.78 = 2,746.33/x
  3. Step 3: Cross multiply
    4,734.62x = 6,533.78 × 2,746.33
  4. Step 4: Simplify right side
    4,734.62x = 17,943,869.63
  5. Step 5: Solve for x
    x = 17,943,869.63/4,734.62
  6. Step 6: Final answer
    x = 3,789.93

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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.