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Finding the Fourth Proportional to 5,834.94, 8,752.41 and 2,137.46

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Solution

The fourth proportional to 5,834.94, 8,752.41 and 2,137.46 is: 3,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.94 : 8,752.41 = 2,137.46 : x
  2. Step 2: Convert to fraction form
    5,834.94/8,752.41 = 2,137.46/x
  3. Step 3: Cross multiply
    5,834.94x = 8,752.41 × 2,137.46
  4. Step 4: Simplify right side
    5,834.94x = 18,707,931.75
  5. Step 5: Solve for x
    x = 18,707,931.75/5,834.94
  6. Step 6: Final answer
    x = 3,206.19

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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.