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Finding the Fourth Proportional to 5,834.90, 8,751.11 and 1,886.51

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Solution

The fourth proportional to 5,834.90, 8,751.11 and 1,886.51 is: 2,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.90 : 8,751.11 = 1,886.51 : x
  2. Step 2: Convert to fraction form
    5,834.90/8,751.11 = 1,886.51/x
  3. Step 3: Cross multiply
    5,834.90x = 8,751.11 × 1,886.51
  4. Step 4: Simplify right side
    5,834.90x = 16,509,068.97
  5. Step 5: Solve for x
    x = 16,509,068.97/5,834.90
  6. Step 6: Final answer
    x = 2,829.37

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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.