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Finding the Fourth Proportional to 5,828.96, 8,043.30 and 3,470.65

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Solution

The fourth proportional to 5,828.96, 8,043.30 and 3,470.65 is: 4,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.96 : 8,043.30 = 3,470.65 : x
  2. Step 2: Convert to fraction form
    5,828.96/8,043.30 = 3,470.65/x
  3. Step 3: Cross multiply
    5,828.96x = 8,043.30 × 3,470.65
  4. Step 4: Simplify right side
    5,828.96x = 27,915,459.04
  5. Step 5: Solve for x
    x = 27,915,459.04/5,828.96
  6. Step 6: Final answer
    x = 4,789.10

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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.