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Finding the Fourth Proportional to 5,173.80, 7,746.86 and 4,512.57

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Solution

The fourth proportional to 5,173.80, 7,746.86 and 4,512.57 is: 6,756.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.80 : 7,746.86 = 4,512.57 : x
  2. Step 2: Convert to fraction form
    5,173.80/7,746.86 = 4,512.57/x
  3. Step 3: Cross multiply
    5,173.80x = 7,746.86 × 4,512.57
  4. Step 4: Simplify right side
    5,173.80x = 34,958,225.47
  5. Step 5: Solve for x
    x = 34,958,225.47/5,173.80
  6. Step 6: Final answer
    x = 6,756.78

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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.