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Finding the Fourth Proportional to 5,834.49, 8,751.76 and 1,451.94

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Solution

The fourth proportional to 5,834.49, 8,751.76 and 1,451.94 is: 2,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.49 : 8,751.76 = 1,451.94 : x
  2. Step 2: Convert to fraction form
    5,834.49/8,751.76 = 1,451.94/x
  3. Step 3: Cross multiply
    5,834.49x = 8,751.76 × 1,451.94
  4. Step 4: Simplify right side
    5,834.49x = 12,707,030.41
  5. Step 5: Solve for x
    x = 12,707,030.41/5,834.49
  6. Step 6: Final answer
    x = 2,177.92

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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.