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Finding the Fourth Proportional to 5,777.56, 7,968.72 and 3,985.60

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Solution

The fourth proportional to 5,777.56, 7,968.72 and 3,985.60 is: 5,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.56 : 7,968.72 = 3,985.60 : x
  2. Step 2: Convert to fraction form
    5,777.56/7,968.72 = 3,985.60/x
  3. Step 3: Cross multiply
    5,777.56x = 7,968.72 × 3,985.60
  4. Step 4: Simplify right side
    5,777.56x = 31,760,130.43
  5. Step 5: Solve for x
    x = 31,760,130.43/5,777.56
  6. Step 6: Final answer
    x = 5,497.15

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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.