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Finding the Fourth Proportional to 4,470.94, 6,170.45 and 2,582.65

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Solution

The fourth proportional to 4,470.94, 6,170.45 and 2,582.65 is: 3,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.94 : 6,170.45 = 2,582.65 : x
  2. Step 2: Convert to fraction form
    4,470.94/6,170.45 = 2,582.65/x
  3. Step 3: Cross multiply
    4,470.94x = 6,170.45 × 2,582.65
  4. Step 4: Simplify right side
    4,470.94x = 15,936,112.69
  5. Step 5: Solve for x
    x = 15,936,112.69/4,470.94
  6. Step 6: Final answer
    x = 3,564.38

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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.