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Finding the Fourth Proportional to 5,583.40, 8,372.61 and 4,016.86

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Solution

The fourth proportional to 5,583.40, 8,372.61 and 4,016.86 is: 6,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.40 : 8,372.61 = 4,016.86 : x
  2. Step 2: Convert to fraction form
    5,583.40/8,372.61 = 4,016.86/x
  3. Step 3: Cross multiply
    5,583.40x = 8,372.61 × 4,016.86
  4. Step 4: Simplify right side
    5,583.40x = 33,631,581.27
  5. Step 5: Solve for x
    x = 33,631,581.27/5,583.40
  6. Step 6: Final answer
    x = 6,023.50

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Why These Related Problems?

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