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Finding the Fourth Proportional to 5,270.78, 7,274.40 and 3,174.50

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Solution

The fourth proportional to 5,270.78, 7,274.40 and 3,174.50 is: 4,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.78 : 7,274.40 = 3,174.50 : x
  2. Step 2: Convert to fraction form
    5,270.78/7,274.40 = 3,174.50/x
  3. Step 3: Cross multiply
    5,270.78x = 7,274.40 × 3,174.50
  4. Step 4: Simplify right side
    5,270.78x = 23,092,582.80
  5. Step 5: Solve for x
    x = 23,092,582.80/5,270.78
  6. Step 6: Final answer
    x = 4,381.25

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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.