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Finding the Fourth Proportional to 6,288.27, 8,677.42 and 3,493.77

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Solution

The fourth proportional to 6,288.27, 8,677.42 and 3,493.77 is: 4,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.27 : 8,677.42 = 3,493.77 : x
  2. Step 2: Convert to fraction form
    6,288.27/8,677.42 = 3,493.77/x
  3. Step 3: Cross multiply
    6,288.27x = 8,677.42 × 3,493.77
  4. Step 4: Simplify right side
    6,288.27x = 30,316,909.67
  5. Step 5: Solve for x
    x = 30,316,909.67/6,288.27
  6. Step 6: Final answer
    x = 4,821.18

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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.