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Finding the Fourth Proportional to 5,855.50, 8,784.78 and 1,751.50

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Solution

The fourth proportional to 5,855.50, 8,784.78 and 1,751.50 is: 2,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.50 : 8,784.78 = 1,751.50 : x
  2. Step 2: Convert to fraction form
    5,855.50/8,784.78 = 1,751.50/x
  3. Step 3: Cross multiply
    5,855.50x = 8,784.78 × 1,751.50
  4. Step 4: Simplify right side
    5,855.50x = 15,386,542.17
  5. Step 5: Solve for x
    x = 15,386,542.17/5,855.50
  6. Step 6: Final answer
    x = 2,627.71

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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.