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Finding the Fourth Proportional to 6,338.42, 8,746.98 and 3,543.92

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Solution

The fourth proportional to 6,338.42, 8,746.98 and 3,543.92 is: 4,890.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.42 : 8,746.98 = 3,543.92 : x
  2. Step 2: Convert to fraction form
    6,338.42/8,746.98 = 3,543.92/x
  3. Step 3: Cross multiply
    6,338.42x = 8,746.98 × 3,543.92
  4. Step 4: Simplify right side
    6,338.42x = 30,998,597.36
  5. Step 5: Solve for x
    x = 30,998,597.36/6,338.42
  6. Step 6: Final answer
    x = 4,890.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.