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Finding the Fourth Proportional to 5,738.60, 7,918.79 and 3,470.77

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Solution

The fourth proportional to 5,738.60, 7,918.79 and 3,470.77 is: 4,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.60 : 7,918.79 = 3,470.77 : x
  2. Step 2: Convert to fraction form
    5,738.60/7,918.79 = 3,470.77/x
  3. Step 3: Cross multiply
    5,738.60x = 7,918.79 × 3,470.77
  4. Step 4: Simplify right side
    5,738.60x = 27,484,323.35
  5. Step 5: Solve for x
    x = 27,484,323.35/5,738.60
  6. Step 6: Final answer
    x = 4,789.38

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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.