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Finding the Fourth Proportional to 5,879.81, 8,813.50 and 1,930.03

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Solution

The fourth proportional to 5,879.81, 8,813.50 and 1,930.03 is: 2,893.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.81 : 8,813.50 = 1,930.03 : x
  2. Step 2: Convert to fraction form
    5,879.81/8,813.50 = 1,930.03/x
  3. Step 3: Cross multiply
    5,879.81x = 8,813.50 × 1,930.03
  4. Step 4: Simplify right side
    5,879.81x = 17,010,319.41
  5. Step 5: Solve for x
    x = 17,010,319.41/5,879.81
  6. Step 6: Final answer
    x = 2,893.00

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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.