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Finding the Fourth Proportional to 5,189.69, 7,789.17 and 2,417.93

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Solution

The fourth proportional to 5,189.69, 7,789.17 and 2,417.93 is: 3,629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.69 : 7,789.17 = 2,417.93 : x
  2. Step 2: Convert to fraction form
    5,189.69/7,789.17 = 2,417.93/x
  3. Step 3: Cross multiply
    5,189.69x = 7,789.17 × 2,417.93
  4. Step 4: Simplify right side
    5,189.69x = 18,833,628.87
  5. Step 5: Solve for x
    x = 18,833,628.87/5,189.69
  6. Step 6: Final answer
    x = 3,629.05

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1.5x scale

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.