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Finding the Fourth Proportional to 5,668.78, 8,446.20 and 5,350.46

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Solution

The fourth proportional to 5,668.78, 8,446.20 and 5,350.46 is: 7,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.78 : 8,446.20 = 5,350.46 : x
  2. Step 2: Convert to fraction form
    5,668.78/8,446.20 = 5,350.46/x
  3. Step 3: Cross multiply
    5,668.78x = 8,446.20 × 5,350.46
  4. Step 4: Simplify right side
    5,668.78x = 45,191,055.25
  5. Step 5: Solve for x
    x = 45,191,055.25/5,668.78
  6. Step 6: Final answer
    x = 7,971.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.