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Finding the Fourth Proportional to 3,609.86, 4,981.75 and 2,037.94

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Solution

The fourth proportional to 3,609.86, 4,981.75 and 2,037.94 is: 2,812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.86 : 4,981.75 = 2,037.94 : x
  2. Step 2: Convert to fraction form
    3,609.86/4,981.75 = 2,037.94/x
  3. Step 3: Cross multiply
    3,609.86x = 4,981.75 × 2,037.94
  4. Step 4: Simplify right side
    3,609.86x = 10,152,490.05
  5. Step 5: Solve for x
    x = 10,152,490.05/3,609.86
  6. Step 6: Final answer
    x = 2,812.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.