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Finding the Fourth Proportional to 6,281.56, 8,668.86 and 3,629.80

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Solution

The fourth proportional to 6,281.56, 8,668.86 and 3,629.80 is: 5,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.56 : 8,668.86 = 3,629.80 : x
  2. Step 2: Convert to fraction form
    6,281.56/8,668.86 = 3,629.80/x
  3. Step 3: Cross multiply
    6,281.56x = 8,668.86 × 3,629.80
  4. Step 4: Simplify right side
    6,281.56x = 31,466,228.03
  5. Step 5: Solve for x
    x = 31,466,228.03/6,281.56
  6. Step 6: Final answer
    x = 5,009.30

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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.