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Finding the Fourth Proportional to 5,739.30, 8,609.13 and 2,041.47

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Solution

The fourth proportional to 5,739.30, 8,609.13 and 2,041.47 is: 3,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.30 : 8,609.13 = 2,041.47 : x
  2. Step 2: Convert to fraction form
    5,739.30/8,609.13 = 2,041.47/x
  3. Step 3: Cross multiply
    5,739.30x = 8,609.13 × 2,041.47
  4. Step 4: Simplify right side
    5,739.30x = 17,575,280.62
  5. Step 5: Solve for x
    x = 17,575,280.62/5,739.30
  6. Step 6: Final answer
    x = 3,062.27

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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.