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Finding the Fourth Proportional to 5,535.79, 8,305.29 and 1,640.29

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Solution

The fourth proportional to 5,535.79, 8,305.29 and 1,640.29 is: 2,460.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.79 : 8,305.29 = 1,640.29 : x
  2. Step 2: Convert to fraction form
    5,535.79/8,305.29 = 1,640.29/x
  3. Step 3: Cross multiply
    5,535.79x = 8,305.29 × 1,640.29
  4. Step 4: Simplify right side
    5,535.79x = 13,623,084.13
  5. Step 5: Solve for x
    x = 13,623,084.13/5,535.79
  6. Step 6: Final answer
    x = 2,460.91

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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.