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Finding the Fourth Proportional to 3,957.41, 5,460.21 and 2,278.43

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Solution

The fourth proportional to 3,957.41, 5,460.21 and 2,278.43 is: 3,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.41 : 5,460.21 = 2,278.43 : x
  2. Step 2: Convert to fraction form
    3,957.41/5,460.21 = 2,278.43/x
  3. Step 3: Cross multiply
    3,957.41x = 5,460.21 × 2,278.43
  4. Step 4: Simplify right side
    3,957.41x = 12,440,699.45
  5. Step 5: Solve for x
    x = 12,440,699.45/3,957.41
  6. Step 6: Final answer
    x = 3,143.65

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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.