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Finding the Fourth Proportional to 5,767.36, 7,959.60 and 3,410.08

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Solution

The fourth proportional to 5,767.36, 7,959.60 and 3,410.08 is: 4,706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.36 : 7,959.60 = 3,410.08 : x
  2. Step 2: Convert to fraction form
    5,767.36/7,959.60 = 3,410.08/x
  3. Step 3: Cross multiply
    5,767.36x = 7,959.60 × 3,410.08
  4. Step 4: Simplify right side
    5,767.36x = 27,142,872.77
  5. Step 5: Solve for x
    x = 27,142,872.77/5,767.36
  6. Step 6: Final answer
    x = 4,706.29

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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.