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Finding the Fourth Proportional to 3,956.78, 5,459.60 and 2,384.98

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Solution

The fourth proportional to 3,956.78, 5,459.60 and 2,384.98 is: 3,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.78 : 5,459.60 = 2,384.98 : x
  2. Step 2: Convert to fraction form
    3,956.78/5,459.60 = 2,384.98/x
  3. Step 3: Cross multiply
    3,956.78x = 5,459.60 × 2,384.98
  4. Step 4: Simplify right side
    3,956.78x = 13,021,029.12
  5. Step 5: Solve for x
    x = 13,021,029.12/3,956.78
  6. Step 6: Final answer
    x = 3,290.81

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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.