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Finding the Fourth Proportional to 6,197.54, 8,539.89 and 5,760.02

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Solution

The fourth proportional to 6,197.54, 8,539.89 and 5,760.02 is: 7,937.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.54 : 8,539.89 = 5,760.02 : x
  2. Step 2: Convert to fraction form
    6,197.54/8,539.89 = 5,760.02/x
  3. Step 3: Cross multiply
    6,197.54x = 8,539.89 × 5,760.02
  4. Step 4: Simplify right side
    6,197.54x = 49,189,937.20
  5. Step 5: Solve for x
    x = 49,189,937.20/6,197.54
  6. Step 6: Final answer
    x = 7,937.01

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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.