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Finding the Fourth Proportional to 5,771.34, 7,959.89 and 4,178.21

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Solution

The fourth proportional to 5,771.34, 7,959.89 and 4,178.21 is: 5,762.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.34 : 7,959.89 = 4,178.21 : x
  2. Step 2: Convert to fraction form
    5,771.34/7,959.89 = 4,178.21/x
  3. Step 3: Cross multiply
    5,771.34x = 7,959.89 × 4,178.21
  4. Step 4: Simplify right side
    5,771.34x = 33,258,062.64
  5. Step 5: Solve for x
    x = 33,258,062.64/5,771.34
  6. Step 6: Final answer
    x = 5,762.62

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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.