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Finding the Fourth Proportional to 5,834.07, 8,751.07 and 1,674.10

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Solution

The fourth proportional to 5,834.07, 8,751.07 and 1,674.10 is: 2,511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.07 : 8,751.07 = 1,674.10 : x
  2. Step 2: Convert to fraction form
    5,834.07/8,751.07 = 1,674.10/x
  3. Step 3: Cross multiply
    5,834.07x = 8,751.07 × 1,674.10
  4. Step 4: Simplify right side
    5,834.07x = 14,650,179.32
  5. Step 5: Solve for x
    x = 14,650,179.32/5,834.07
  6. Step 6: Final answer
    x = 2,511.14

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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.