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Finding the Fourth Proportional to 6,338.60, 8,746.02 and 3,543.56

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Solution

The fourth proportional to 6,338.60, 8,746.02 and 3,543.56 is: 4,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.60 : 8,746.02 = 3,543.56 : x
  2. Step 2: Convert to fraction form
    6,338.60/8,746.02 = 3,543.56/x
  3. Step 3: Cross multiply
    6,338.60x = 8,746.02 × 3,543.56
  4. Step 4: Simplify right side
    6,338.60x = 30,992,046.63
  5. Step 5: Solve for x
    x = 30,992,046.63/6,338.60
  6. Step 6: Final answer
    x = 4,889.42

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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.