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Finding the Fourth Proportional to 5,777.40, 7,971.42 and 3,420.12

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Solution

The fourth proportional to 5,777.40, 7,971.42 and 3,420.12 is: 4,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.40 : 7,971.42 = 3,420.12 : x
  2. Step 2: Convert to fraction form
    5,777.40/7,971.42 = 3,420.12/x
  3. Step 3: Cross multiply
    5,777.40x = 7,971.42 × 3,420.12
  4. Step 4: Simplify right side
    5,777.40x = 27,263,212.97
  5. Step 5: Solve for x
    x = 27,263,212.97/5,777.40
  6. Step 6: Final answer
    x = 4,718.94

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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.