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Finding the Fourth Proportional to 5,947.96, 8,207.00 and 3,590.23

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Solution

The fourth proportional to 5,947.96, 8,207.00 and 3,590.23 is: 4,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.96 : 8,207.00 = 3,590.23 : x
  2. Step 2: Convert to fraction form
    5,947.96/8,207.00 = 3,590.23/x
  3. Step 3: Cross multiply
    5,947.96x = 8,207.00 × 3,590.23
  4. Step 4: Simplify right side
    5,947.96x = 29,464,992.60
  5. Step 5: Solve for x
    x = 29,464,992.60/5,947.96
  6. Step 6: Final answer
    x = 4,953.80

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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.