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Finding the Fourth Proportional to 3,911.64, 5,858.91 and 2,443.61

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Solution

The fourth proportional to 3,911.64, 5,858.91 and 2,443.61 is: 3,660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.64 : 5,858.91 = 2,443.61 : x
  2. Step 2: Convert to fraction form
    3,911.64/5,858.91 = 2,443.61/x
  3. Step 3: Cross multiply
    3,911.64x = 5,858.91 × 2,443.61
  4. Step 4: Simplify right side
    3,911.64x = 14,316,861.77
  5. Step 5: Solve for x
    x = 14,316,861.77/3,911.64
  6. Step 6: Final answer
    x = 3,660.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.