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Finding the Fourth Proportional to 5,668.81, 7,823.45 and 3,311.71

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Solution

The fourth proportional to 5,668.81, 7,823.45 and 3,311.71 is: 4,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.81 : 7,823.45 = 3,311.71 : x
  2. Step 2: Convert to fraction form
    5,668.81/7,823.45 = 3,311.71/x
  3. Step 3: Cross multiply
    5,668.81x = 7,823.45 × 3,311.71
  4. Step 4: Simplify right side
    5,668.81x = 25,908,997.60
  5. Step 5: Solve for x
    x = 25,908,997.60/5,668.81
  6. Step 6: Final answer
    x = 4,570.45

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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.