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Finding the Fourth Proportional to 3,693.89, 5,536.58 and 1,613.40

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Solution

The fourth proportional to 3,693.89, 5,536.58 and 1,613.40 is: 2,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.89 : 5,536.58 = 1,613.40 : x
  2. Step 2: Convert to fraction form
    3,693.89/5,536.58 = 1,613.40/x
  3. Step 3: Cross multiply
    3,693.89x = 5,536.58 × 1,613.40
  4. Step 4: Simplify right side
    3,693.89x = 8,932,710.11
  5. Step 5: Solve for x
    x = 8,932,710.11/3,693.89
  6. Step 6: Final answer
    x = 2,418.24

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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.