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Finding the Fourth Proportional to 3,711.50, 5,122.03 and 2,055.50

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Solution

The fourth proportional to 3,711.50, 5,122.03 and 2,055.50 is: 2,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.50 : 5,122.03 = 2,055.50 : x
  2. Step 2: Convert to fraction form
    3,711.50/5,122.03 = 2,055.50/x
  3. Step 3: Cross multiply
    3,711.50x = 5,122.03 × 2,055.50
  4. Step 4: Simplify right side
    3,711.50x = 10,528,332.67
  5. Step 5: Solve for x
    x = 10,528,332.67/3,711.50
  6. Step 6: Final answer
    x = 2,836.68

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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.