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Finding the Fourth Proportional to 5,801.41, 8,005.92 and 3,148.84

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Solution

The fourth proportional to 5,801.41, 8,005.92 and 3,148.84 is: 4,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.41 : 8,005.92 = 3,148.84 : x
  2. Step 2: Convert to fraction form
    5,801.41/8,005.92 = 3,148.84/x
  3. Step 3: Cross multiply
    5,801.41x = 8,005.92 × 3,148.84
  4. Step 4: Simplify right side
    5,801.41x = 25,209,361.13
  5. Step 5: Solve for x
    x = 25,209,361.13/5,801.41
  6. Step 6: Final answer
    x = 4,345.39

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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.