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Finding the Fourth Proportional to 3,689.79, 5,536.70 and 1,741.94

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Solution

The fourth proportional to 3,689.79, 5,536.70 and 1,741.94 is: 2,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.79 : 5,536.70 = 1,741.94 : x
  2. Step 2: Convert to fraction form
    3,689.79/5,536.70 = 1,741.94/x
  3. Step 3: Cross multiply
    3,689.79x = 5,536.70 × 1,741.94
  4. Step 4: Simplify right side
    3,689.79x = 9,644,599.20
  5. Step 5: Solve for x
    x = 9,644,599.20/3,689.79
  6. Step 6: Final answer
    x = 2,613.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.