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Finding the Fourth Proportional to 3,705.69, 5,111.63 and 2,446.75

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Solution

The fourth proportional to 3,705.69, 5,111.63 and 2,446.75 is: 3,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.69 : 5,111.63 = 2,446.75 : x
  2. Step 2: Convert to fraction form
    3,705.69/5,111.63 = 2,446.75/x
  3. Step 3: Cross multiply
    3,705.69x = 5,111.63 × 2,446.75
  4. Step 4: Simplify right side
    3,705.69x = 12,506,855.69
  5. Step 5: Solve for x
    x = 12,506,855.69/3,705.69
  6. Step 6: Final answer
    x = 3,375.04

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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.