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Finding the Fourth Proportional to 5,273.92, 7,907.64 and 2,500.48

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Solution

The fourth proportional to 5,273.92, 7,907.64 and 2,500.48 is: 3,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.92 : 7,907.64 = 2,500.48 : x
  2. Step 2: Convert to fraction form
    5,273.92/7,907.64 = 2,500.48/x
  3. Step 3: Cross multiply
    5,273.92x = 7,907.64 × 2,500.48
  4. Step 4: Simplify right side
    5,273.92x = 19,772,895.67
  5. Step 5: Solve for x
    x = 19,772,895.67/5,273.92
  6. Step 6: Final answer
    x = 3,749.18

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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.