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Finding the Fourth Proportional to 5,594.49, 7,720.49 and 3,076.71

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Solution

The fourth proportional to 5,594.49, 7,720.49 and 3,076.71 is: 4,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594.49 : 7,720.49 = 3,076.71 : x
  2. Step 2: Convert to fraction form
    5,594.49/7,720.49 = 3,076.71/x
  3. Step 3: Cross multiply
    5,594.49x = 7,720.49 × 3,076.71
  4. Step 4: Simplify right side
    5,594.49x = 23,753,708.79
  5. Step 5: Solve for x
    x = 23,753,708.79/5,594.49
  6. Step 6: Final answer
    x = 4,245.91

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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.