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Finding the Fourth Proportional to 3,805.70, 5,266.24 and 3,245.28

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Solution

The fourth proportional to 3,805.70, 5,266.24 and 3,245.28 is: 4,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.70 : 5,266.24 = 3,245.28 : x
  2. Step 2: Convert to fraction form
    3,805.70/5,266.24 = 3,245.28/x
  3. Step 3: Cross multiply
    3,805.70x = 5,266.24 × 3,245.28
  4. Step 4: Simplify right side
    3,805.70x = 17,090,423.35
  5. Step 5: Solve for x
    x = 17,090,423.35/3,805.70
  6. Step 6: Final answer
    x = 4,490.74

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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.