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Finding the Fourth Proportional to 6,043.68, 8,338.80 and 3,685.68

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Solution

The fourth proportional to 6,043.68, 8,338.80 and 3,685.68 is: 5,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043.68 : 8,338.80 = 3,685.68 : x
  2. Step 2: Convert to fraction form
    6,043.68/8,338.80 = 3,685.68/x
  3. Step 3: Cross multiply
    6,043.68x = 8,338.80 × 3,685.68
  4. Step 4: Simplify right side
    6,043.68x = 30,734,148.38
  5. Step 5: Solve for x
    x = 30,734,148.38/6,043.68
  6. Step 6: Final answer
    x = 5,085.34

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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.