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Finding the Fourth Proportional to 4,542.52, 6,810.54 and 1,766.86

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Solution

The fourth proportional to 4,542.52, 6,810.54 and 1,766.86 is: 2,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.52 : 6,810.54 = 1,766.86 : x
  2. Step 2: Convert to fraction form
    4,542.52/6,810.54 = 1,766.86/x
  3. Step 3: Cross multiply
    4,542.52x = 6,810.54 × 1,766.86
  4. Step 4: Simplify right side
    4,542.52x = 12,033,270.70
  5. Step 5: Solve for x
    x = 12,033,270.70/4,542.52
  6. Step 6: Final answer
    x = 2,649.03

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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.