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Finding the Fourth Proportional to 5,834.02, 8,751.06 and 1,451.48

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Solution

The fourth proportional to 5,834.02, 8,751.06 and 1,451.48 is: 2,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.02 : 8,751.06 = 1,451.48 : x
  2. Step 2: Convert to fraction form
    5,834.02/8,751.06 = 1,451.48/x
  3. Step 3: Cross multiply
    5,834.02x = 8,751.06 × 1,451.48
  4. Step 4: Simplify right side
    5,834.02x = 12,701,950.46
  5. Step 5: Solve for x
    x = 12,701,950.46/5,834.02
  6. Step 6: Final answer
    x = 2,177.22

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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.