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Finding the Fourth Proportional to 3,380.56, 4,658.53 and 2,584.79

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Solution

The fourth proportional to 3,380.56, 4,658.53 and 2,584.79 is: 3,561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.56 : 4,658.53 = 2,584.79 : x
  2. Step 2: Convert to fraction form
    3,380.56/4,658.53 = 2,584.79/x
  3. Step 3: Cross multiply
    3,380.56x = 4,658.53 × 2,584.79
  4. Step 4: Simplify right side
    3,380.56x = 12,041,331.78
  5. Step 5: Solve for x
    x = 12,041,331.78/3,380.56
  6. Step 6: Final answer
    x = 3,561.93

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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.