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Finding the Fourth Proportional to 4,504.71, 6,760.07 and 1,582.97

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Solution

The fourth proportional to 4,504.71, 6,760.07 and 1,582.97 is: 2,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,504.71 : 6,760.07 = 1,582.97 : x
  2. Step 2: Convert to fraction form
    4,504.71/6,760.07 = 1,582.97/x
  3. Step 3: Cross multiply
    4,504.71x = 6,760.07 × 1,582.97
  4. Step 4: Simplify right side
    4,504.71x = 10,700,980.09
  5. Step 5: Solve for x
    x = 10,700,980.09/4,504.71
  6. Step 6: Final answer
    x = 2,375.51

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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.