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Finding the Fourth Proportional to 3,407.12, 4,708 and 2,940.56

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Solution

The fourth proportional to 3,407.12, 4,708 and 2,940.56 is: 4,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.12 : 4,708 = 2,940.56 : x
  2. Step 2: Convert to fraction form
    3,407.12/4,708 = 2,940.56/x
  3. Step 3: Cross multiply
    3,407.12x = 4,708 × 2,940.56
  4. Step 4: Simplify right side
    3,407.12x = 13,844,156.48
  5. Step 5: Solve for x
    x = 13,844,156.48/3,407.12
  6. Step 6: Final answer
    x = 4,063.30

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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.