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Finding the Fourth Proportional to 4,314.56, 5,954.10 and 2,451.56

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Solution

The fourth proportional to 4,314.56, 5,954.10 and 2,451.56 is: 3,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.56 : 5,954.10 = 2,451.56 : x
  2. Step 2: Convert to fraction form
    4,314.56/5,954.10 = 2,451.56/x
  3. Step 3: Cross multiply
    4,314.56x = 5,954.10 × 2,451.56
  4. Step 4: Simplify right side
    4,314.56x = 14,596,848.28
  5. Step 5: Solve for x
    x = 14,596,848.28/4,314.56
  6. Step 6: Final answer
    x = 3,383.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.