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Finding the Fourth Proportional to 5,766.42, 7,938.09 and 5,176.74

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Solution

The fourth proportional to 5,766.42, 7,938.09 and 5,176.74 is: 7,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.42 : 7,938.09 = 5,176.74 : x
  2. Step 2: Convert to fraction form
    5,766.42/7,938.09 = 5,176.74/x
  3. Step 3: Cross multiply
    5,766.42x = 7,938.09 × 5,176.74
  4. Step 4: Simplify right side
    5,766.42x = 41,093,428.03
  5. Step 5: Solve for x
    x = 41,093,428.03/5,766.42
  6. Step 6: Final answer
    x = 7,126.33

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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.