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Finding the Fourth Proportional to 6,281.84, 8,668.95 and 3,629.23

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Solution

The fourth proportional to 6,281.84, 8,668.95 and 3,629.23 is: 5,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.84 : 8,668.95 = 3,629.23 : x
  2. Step 2: Convert to fraction form
    6,281.84/8,668.95 = 3,629.23/x
  3. Step 3: Cross multiply
    6,281.84x = 8,668.95 × 3,629.23
  4. Step 4: Simplify right side
    6,281.84x = 31,461,613.41
  5. Step 5: Solve for x
    x = 31,461,613.41/6,281.84
  6. Step 6: Final answer
    x = 5,008.34

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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.