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Finding the Fourth Proportional to 4,165.11, 6,220.19 and 3,705.84

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Solution

The fourth proportional to 4,165.11, 6,220.19 and 3,705.84 is: 5,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.11 : 6,220.19 = 3,705.84 : x
  2. Step 2: Convert to fraction form
    4,165.11/6,220.19 = 3,705.84/x
  3. Step 3: Cross multiply
    4,165.11x = 6,220.19 × 3,705.84
  4. Step 4: Simplify right side
    4,165.11x = 23,051,010.38
  5. Step 5: Solve for x
    x = 23,051,010.38/4,165.11
  6. Step 6: Final answer
    x = 5,534.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.