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Finding the Fourth Proportional to 6,043.76, 8,338 and 3,681.80

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Solution

The fourth proportional to 6,043.76, 8,338 and 3,681.80 is: 5,079.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043.76 : 8,338 = 3,681.80 : x
  2. Step 2: Convert to fraction form
    6,043.76/8,338 = 3,681.80/x
  3. Step 3: Cross multiply
    6,043.76x = 8,338 × 3,681.80
  4. Step 4: Simplify right side
    6,043.76x = 30,698,848.40
  5. Step 5: Solve for x
    x = 30,698,848.40/6,043.76
  6. Step 6: Final answer
    x = 5,079.43

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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.