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Finding the Fourth Proportional to 4,732.95, 6,530.90 and 2,743.25

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Solution

The fourth proportional to 4,732.95, 6,530.90 and 2,743.25 is: 3,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.95 : 6,530.90 = 2,743.25 : x
  2. Step 2: Convert to fraction form
    4,732.95/6,530.90 = 2,743.25/x
  3. Step 3: Cross multiply
    4,732.95x = 6,530.90 × 2,743.25
  4. Step 4: Simplify right side
    4,732.95x = 17,915,845.05
  5. Step 5: Solve for x
    x = 17,915,845.05/4,732.95
  6. Step 6: Final answer
    x = 3,785.34

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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.