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Finding the Fourth Proportional to 5,760.98, 8,639.31 and 2,840.66

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Solution

The fourth proportional to 5,760.98, 8,639.31 and 2,840.66 is: 4,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.98 : 8,639.31 = 2,840.66 : x
  2. Step 2: Convert to fraction form
    5,760.98/8,639.31 = 2,840.66/x
  3. Step 3: Cross multiply
    5,760.98x = 8,639.31 × 2,840.66
  4. Step 4: Simplify right side
    5,760.98x = 24,541,342.34
  5. Step 5: Solve for x
    x = 24,541,342.34/5,760.98
  6. Step 6: Final answer
    x = 4,259.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.