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Finding the Fourth Proportional to 3,851.40, 5,311.62 and 3,010.80

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Solution

The fourth proportional to 3,851.40, 5,311.62 and 3,010.80 is: 4,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.40 : 5,311.62 = 3,010.80 : x
  2. Step 2: Convert to fraction form
    3,851.40/5,311.62 = 3,010.80/x
  3. Step 3: Cross multiply
    3,851.40x = 5,311.62 × 3,010.80
  4. Step 4: Simplify right side
    3,851.40x = 15,992,225.50
  5. Step 5: Solve for x
    x = 15,992,225.50/3,851.40
  6. Step 6: Final answer
    x = 4,152.31

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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.