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Finding the Fourth Proportional to 3,586.69, 4,951.20 and 2,094.04

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Solution

The fourth proportional to 3,586.69, 4,951.20 and 2,094.04 is: 2,890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.69 : 4,951.20 = 2,094.04 : x
  2. Step 2: Convert to fraction form
    3,586.69/4,951.20 = 2,094.04/x
  3. Step 3: Cross multiply
    3,586.69x = 4,951.20 × 2,094.04
  4. Step 4: Simplify right side
    3,586.69x = 10,368,010.85
  5. Step 5: Solve for x
    x = 10,368,010.85/3,586.69
  6. Step 6: Final answer
    x = 2,890.69

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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.