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Finding the Fourth Proportional to 6,537.97, 9,020.19 and 3,705.04

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Solution

The fourth proportional to 6,537.97, 9,020.19 and 3,705.04 is: 5,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.97 : 9,020.19 = 3,705.04 : x
  2. Step 2: Convert to fraction form
    6,537.97/9,020.19 = 3,705.04/x
  3. Step 3: Cross multiply
    6,537.97x = 9,020.19 × 3,705.04
  4. Step 4: Simplify right side
    6,537.97x = 33,420,164.76
  5. Step 5: Solve for x
    x = 33,420,164.76/6,537.97
  6. Step 6: Final answer
    x = 5,111.70

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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.