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Finding the Fourth Proportional to 3,613.42, 4,985.87 and 2,020.10

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Solution

The fourth proportional to 3,613.42, 4,985.87 and 2,020.10 is: 2,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.42 : 4,985.87 = 2,020.10 : x
  2. Step 2: Convert to fraction form
    3,613.42/4,985.87 = 2,020.10/x
  3. Step 3: Cross multiply
    3,613.42x = 4,985.87 × 2,020.10
  4. Step 4: Simplify right side
    3,613.42x = 10,071,930.31
  5. Step 5: Solve for x
    x = 10,071,930.31/3,613.42
  6. Step 6: Final answer
    x = 2,787.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.