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Finding the Fourth Proportional to 3,602.11, 4,972.31 and 2,816.41

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Solution

The fourth proportional to 3,602.11, 4,972.31 and 2,816.41 is: 3,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.11 : 4,972.31 = 2,816.41 : x
  2. Step 2: Convert to fraction form
    3,602.11/4,972.31 = 2,816.41/x
  3. Step 3: Cross multiply
    3,602.11x = 4,972.31 × 2,816.41
  4. Step 4: Simplify right side
    3,602.11x = 14,004,063.61
  5. Step 5: Solve for x
    x = 14,004,063.61/3,602.11
  6. Step 6: Final answer
    x = 3,887.74

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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.