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Finding the Fourth Proportional to 4,061.84, 6,093.05 and 1,983.57

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Solution

The fourth proportional to 4,061.84, 6,093.05 and 1,983.57 is: 2,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.84 : 6,093.05 = 1,983.57 : x
  2. Step 2: Convert to fraction form
    4,061.84/6,093.05 = 1,983.57/x
  3. Step 3: Cross multiply
    4,061.84x = 6,093.05 × 1,983.57
  4. Step 4: Simplify right side
    4,061.84x = 12,085,981.27
  5. Step 5: Solve for x
    x = 12,085,981.27/4,061.84
  6. Step 6: Final answer
    x = 2,975.50

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Why These Related Problems?

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