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Finding the Fourth Proportional to 6,380.44, 8,805.00 and 3,585.94

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Solution

The fourth proportional to 6,380.44, 8,805.00 and 3,585.94 is: 4,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.44 : 8,805.00 = 3,585.94 : x
  2. Step 2: Convert to fraction form
    6,380.44/8,805.00 = 3,585.94/x
  3. Step 3: Cross multiply
    6,380.44x = 8,805.00 × 3,585.94
  4. Step 4: Simplify right side
    6,380.44x = 31,574,193.13
  5. Step 5: Solve for x
    x = 31,574,193.13/6,380.44
  6. Step 6: Final answer
    x = 4,948.59

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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.