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Finding the Fourth Proportional to 6,193.74, 8,547.64 and 3,540.44

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Solution

The fourth proportional to 6,193.74, 8,547.64 and 3,540.44 is: 4,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.74 : 8,547.64 = 3,540.44 : x
  2. Step 2: Convert to fraction form
    6,193.74/8,547.64 = 3,540.44/x
  3. Step 3: Cross multiply
    6,193.74x = 8,547.64 × 3,540.44
  4. Step 4: Simplify right side
    6,193.74x = 30,262,406.56
  5. Step 5: Solve for x
    x = 30,262,406.56/6,193.74
  6. Step 6: Final answer
    x = 4,885.97

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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.