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Finding the Fourth Proportional to 5,767.84, 7,960.08 and 4,435.36

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Solution

The fourth proportional to 5,767.84, 7,960.08 and 4,435.36 is: 6,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.84 : 7,960.08 = 4,435.36 : x
  2. Step 2: Convert to fraction form
    5,767.84/7,960.08 = 4,435.36/x
  3. Step 3: Cross multiply
    5,767.84x = 7,960.08 × 4,435.36
  4. Step 4: Simplify right side
    5,767.84x = 35,305,820.43
  5. Step 5: Solve for x
    x = 35,305,820.43/5,767.84
  6. Step 6: Final answer
    x = 6,121.15

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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.