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Finding the Fourth Proportional to 5,412.86, 7,469.61 and 3,054.99

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Solution

The fourth proportional to 5,412.86, 7,469.61 and 3,054.99 is: 4,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.86 : 7,469.61 = 3,054.99 : x
  2. Step 2: Convert to fraction form
    5,412.86/7,469.61 = 3,054.99/x
  3. Step 3: Cross multiply
    5,412.86x = 7,469.61 × 3,054.99
  4. Step 4: Simplify right side
    5,412.86x = 22,819,538.87
  5. Step 5: Solve for x
    x = 22,819,538.87/5,412.86
  6. Step 6: Final answer
    x = 4,215.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.