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Finding the Fourth Proportional to 5,668.68, 7,823.28 and 3,311.58

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Solution

The fourth proportional to 5,668.68, 7,823.28 and 3,311.58 is: 4,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.68 : 7,823.28 = 3,311.58 : x
  2. Step 2: Convert to fraction form
    5,668.68/7,823.28 = 3,311.58/x
  3. Step 3: Cross multiply
    5,668.68x = 7,823.28 × 3,311.58
  4. Step 4: Simplify right side
    5,668.68x = 25,907,417.58
  5. Step 5: Solve for x
    x = 25,907,417.58/5,668.68
  6. Step 6: Final answer
    x = 4,570.27

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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.