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Finding the Fourth Proportional to 5,751.81, 7,934.71 and 3,392.58

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Solution

The fourth proportional to 5,751.81, 7,934.71 and 3,392.58 is: 4,680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.81 : 7,934.71 = 3,392.58 : x
  2. Step 2: Convert to fraction form
    5,751.81/7,934.71 = 3,392.58/x
  3. Step 3: Cross multiply
    5,751.81x = 7,934.71 × 3,392.58
  4. Step 4: Simplify right side
    5,751.81x = 26,919,166.09
  5. Step 5: Solve for x
    x = 26,919,166.09/5,751.81
  6. Step 6: Final answer
    x = 4,680.12

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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.