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Finding the Fourth Proportional to 4,763.74, 6,574.65 and 2,668

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Solution

The fourth proportional to 4,763.74, 6,574.65 and 2,668 is: 3,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.74 : 6,574.65 = 2,668 : x
  2. Step 2: Convert to fraction form
    4,763.74/6,574.65 = 2,668/x
  3. Step 3: Cross multiply
    4,763.74x = 6,574.65 × 2,668
  4. Step 4: Simplify right side
    4,763.74x = 17,541,166.20
  5. Step 5: Solve for x
    x = 17,541,166.20/4,763.74
  6. Step 6: Final answer
    x = 3,682.23

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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.