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Finding the Fourth Proportional to 4,817.50, 7,228.95 and 4,780.78

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Solution

The fourth proportional to 4,817.50, 7,228.95 and 4,780.78 is: 7,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.50 : 7,228.95 = 4,780.78 : x
  2. Step 2: Convert to fraction form
    4,817.50/7,228.95 = 4,780.78/x
  3. Step 3: Cross multiply
    4,817.50x = 7,228.95 × 4,780.78
  4. Step 4: Simplify right side
    4,817.50x = 34,560,019.58
  5. Step 5: Solve for x
    x = 34,560,019.58/4,817.50
  6. Step 6: Final answer
    x = 7,173.85

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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.