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Finding the Fourth Proportional to 6,494.60, 8,965.53 and 3,805.44

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Solution

The fourth proportional to 6,494.60, 8,965.53 and 3,805.44 is: 5,253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.60 : 8,965.53 = 3,805.44 : x
  2. Step 2: Convert to fraction form
    6,494.60/8,965.53 = 3,805.44/x
  3. Step 3: Cross multiply
    6,494.60x = 8,965.53 × 3,805.44
  4. Step 4: Simplify right side
    6,494.60x = 34,117,767.46
  5. Step 5: Solve for x
    x = 34,117,767.46/6,494.60
  6. Step 6: Final answer
    x = 5,253.26

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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.