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Finding the Fourth Proportional to 5,195.61, 7,793.55 and 1,300.05

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Solution

The fourth proportional to 5,195.61, 7,793.55 and 1,300.05 is: 1,950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.61 : 7,793.55 = 1,300.05 : x
  2. Step 2: Convert to fraction form
    5,195.61/7,793.55 = 1,300.05/x
  3. Step 3: Cross multiply
    5,195.61x = 7,793.55 × 1,300.05
  4. Step 4: Simplify right side
    5,195.61x = 10,132,004.68
  5. Step 5: Solve for x
    x = 10,132,004.68/5,195.61
  6. Step 6: Final answer
    x = 1,950.11

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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.