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Finding the Fourth Proportional to 3,586.88, 4,951.71 and 2,261.94

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Solution

The fourth proportional to 3,586.88, 4,951.71 and 2,261.94 is: 3,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.88 : 4,951.71 = 2,261.94 : x
  2. Step 2: Convert to fraction form
    3,586.88/4,951.71 = 2,261.94/x
  3. Step 3: Cross multiply
    3,586.88x = 4,951.71 × 2,261.94
  4. Step 4: Simplify right side
    3,586.88x = 11,200,470.92
  5. Step 5: Solve for x
    x = 11,200,470.92/3,586.88
  6. Step 6: Final answer
    x = 3,122.63

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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.