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Finding the Fourth Proportional to 5,043.08, 7,564.67 and 1,533.65

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Solution

The fourth proportional to 5,043.08, 7,564.67 and 1,533.65 is: 2,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043.08 : 7,564.67 = 1,533.65 : x
  2. Step 2: Convert to fraction form
    5,043.08/7,564.67 = 1,533.65/x
  3. Step 3: Cross multiply
    5,043.08x = 7,564.67 × 1,533.65
  4. Step 4: Simplify right side
    5,043.08x = 11,601,571.22
  5. Step 5: Solve for x
    x = 11,601,571.22/5,043.08
  6. Step 6: Final answer
    x = 2,300.50

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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.