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Finding the Fourth Proportional to 4,542.71, 6,806.36 and 2,784.03

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Solution

The fourth proportional to 4,542.71, 6,806.36 and 2,784.03 is: 4,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.71 : 6,806.36 = 2,784.03 : x
  2. Step 2: Convert to fraction form
    4,542.71/6,806.36 = 2,784.03/x
  3. Step 3: Cross multiply
    4,542.71x = 6,806.36 × 2,784.03
  4. Step 4: Simplify right side
    4,542.71x = 18,949,096.51
  5. Step 5: Solve for x
    x = 18,949,096.51/4,542.71
  6. Step 6: Final answer
    x = 4,171.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.