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Finding the Fourth Proportional to 6,381, 8,805.96 and 3,587.40

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Solution

The fourth proportional to 6,381, 8,805.96 and 3,587.40 is: 4,950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381 : 8,805.96 = 3,587.40 : x
  2. Step 2: Convert to fraction form
    6,381/8,805.96 = 3,587.40/x
  3. Step 3: Cross multiply
    6,381x = 8,805.96 × 3,587.40
  4. Step 4: Simplify right side
    6,381x = 31,590,500.90
  5. Step 5: Solve for x
    x = 31,590,500.90/6,381
  6. Step 6: Final answer
    x = 4,950.71

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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.