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Finding the Fourth Proportional to 3,805.62, 5,707.56 and 1,464.86

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Solution

The fourth proportional to 3,805.62, 5,707.56 and 1,464.86 is: 2,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.62 : 5,707.56 = 1,464.86 : x
  2. Step 2: Convert to fraction form
    3,805.62/5,707.56 = 1,464.86/x
  3. Step 3: Cross multiply
    3,805.62x = 5,707.56 × 1,464.86
  4. Step 4: Simplify right side
    3,805.62x = 8,360,776.34
  5. Step 5: Solve for x
    x = 8,360,776.34/3,805.62
  6. Step 6: Final answer
    x = 2,196.96

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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.