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Finding the Fourth Proportional to 5,909.51, 8,865.32 and 1,961.00

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Solution

The fourth proportional to 5,909.51, 8,865.32 and 1,961.00 is: 2,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.51 : 8,865.32 = 1,961.00 : x
  2. Step 2: Convert to fraction form
    5,909.51/8,865.32 = 1,961.00/x
  3. Step 3: Cross multiply
    5,909.51x = 8,865.32 × 1,961.00
  4. Step 4: Simplify right side
    5,909.51x = 17,384,912.23
  5. Step 5: Solve for x
    x = 17,384,912.23/5,909.51
  6. Step 6: Final answer
    x = 2,941.85

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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.