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Finding the Fourth Proportional to 5,836.11, 8,754.14 and 1,453.57

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Solution

The fourth proportional to 5,836.11, 8,754.14 and 1,453.57 is: 2,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.11 : 8,754.14 = 1,453.57 : x
  2. Step 2: Convert to fraction form
    5,836.11/8,754.14 = 1,453.57/x
  3. Step 3: Cross multiply
    5,836.11x = 8,754.14 × 1,453.57
  4. Step 4: Simplify right side
    5,836.11x = 12,724,711.51
  5. Step 5: Solve for x
    x = 12,724,711.51/5,836.11
  6. Step 6: Final answer
    x = 2,180.34

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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.