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Finding the Fourth Proportional to 4,004.51, 6,006.62 and 1,811.70

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Solution

The fourth proportional to 4,004.51, 6,006.62 and 1,811.70 is: 2,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.51 : 6,006.62 = 1,811.70 : x
  2. Step 2: Convert to fraction form
    4,004.51/6,006.62 = 1,811.70/x
  3. Step 3: Cross multiply
    4,004.51x = 6,006.62 × 1,811.70
  4. Step 4: Simplify right side
    4,004.51x = 10,882,197.98
  5. Step 5: Solve for x
    x = 10,882,197.98/4,004.51
  6. Step 6: Final answer
    x = 2,717.49

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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.