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Finding the Fourth Proportional to 6,380.33, 8,804.82 and 3,547.66

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Solution

The fourth proportional to 6,380.33, 8,804.82 and 3,547.66 is: 4,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.33 : 8,804.82 = 3,547.66 : x
  2. Step 2: Convert to fraction form
    6,380.33/8,804.82 = 3,547.66/x
  3. Step 3: Cross multiply
    6,380.33x = 8,804.82 × 3,547.66
  4. Step 4: Simplify right side
    6,380.33x = 31,236,489.98
  5. Step 5: Solve for x
    x = 31,236,489.98/6,380.33
  6. Step 6: Final answer
    x = 4,895.75

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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.