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Finding the Fourth Proportional to 3,809.64, 5,705.13 and 3,440.28

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Solution

The fourth proportional to 3,809.64, 5,705.13 and 3,440.28 is: 5,151.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.64 : 5,705.13 = 3,440.28 : x
  2. Step 2: Convert to fraction form
    3,809.64/5,705.13 = 3,440.28/x
  3. Step 3: Cross multiply
    3,809.64x = 5,705.13 × 3,440.28
  4. Step 4: Simplify right side
    3,809.64x = 19,627,244.64
  5. Step 5: Solve for x
    x = 19,627,244.64/3,809.64
  6. Step 6: Final answer
    x = 5,151.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.