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Finding the Fourth Proportional to 3,956.92, 5,459.20 and 2,364.06

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Solution

The fourth proportional to 3,956.92, 5,459.20 and 2,364.06 is: 3,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.92 : 5,459.20 = 2,364.06 : x
  2. Step 2: Convert to fraction form
    3,956.92/5,459.20 = 2,364.06/x
  3. Step 3: Cross multiply
    3,956.92x = 5,459.20 × 2,364.06
  4. Step 4: Simplify right side
    3,956.92x = 12,905,876.35
  5. Step 5: Solve for x
    x = 12,905,876.35/3,956.92
  6. Step 6: Final answer
    x = 3,261.60

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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.