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Finding the Fourth Proportional to 4,855.76, 7,289.40 and 4,836.56

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Solution

The fourth proportional to 4,855.76, 7,289.40 and 4,836.56 is: 7,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.76 : 7,289.40 = 4,836.56 : x
  2. Step 2: Convert to fraction form
    4,855.76/7,289.40 = 4,836.56/x
  3. Step 3: Cross multiply
    4,855.76x = 7,289.40 × 4,836.56
  4. Step 4: Simplify right side
    4,855.76x = 35,255,620.46
  5. Step 5: Solve for x
    x = 35,255,620.46/4,855.76
  6. Step 6: Final answer
    x = 7,260.58

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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.