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Finding the Fourth Proportional to 4,872.36, 7,309.50 and 2,533.50

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Solution

The fourth proportional to 4,872.36, 7,309.50 and 2,533.50 is: 3,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.36 : 7,309.50 = 2,533.50 : x
  2. Step 2: Convert to fraction form
    4,872.36/7,309.50 = 2,533.50/x
  3. Step 3: Cross multiply
    4,872.36x = 7,309.50 × 2,533.50
  4. Step 4: Simplify right side
    4,872.36x = 18,518,618.25
  5. Step 5: Solve for x
    x = 18,518,618.25/4,872.36
  6. Step 6: Final answer
    x = 3,800.75

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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.