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Finding the Fourth Proportional to 3,805.16, 5,708.34 and 1,613.90

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Solution

The fourth proportional to 3,805.16, 5,708.34 and 1,613.90 is: 2,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.16 : 5,708.34 = 1,613.90 : x
  2. Step 2: Convert to fraction form
    3,805.16/5,708.34 = 1,613.90/x
  3. Step 3: Cross multiply
    3,805.16x = 5,708.34 × 1,613.90
  4. Step 4: Simplify right side
    3,805.16x = 9,212,704.20
  5. Step 5: Solve for x
    x = 9,212,704.20/3,805.16
  6. Step 6: Final answer
    x = 2,421.11

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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.