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Finding the Fourth Proportional to 3,613.77, 5,420.85 and 1,016.50

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Solution

The fourth proportional to 3,613.77, 5,420.85 and 1,016.50 is: 1,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.77 : 5,420.85 = 1,016.50 : x
  2. Step 2: Convert to fraction form
    3,613.77/5,420.85 = 1,016.50/x
  3. Step 3: Cross multiply
    3,613.77x = 5,420.85 × 1,016.50
  4. Step 4: Simplify right side
    3,613.77x = 5,510,294.03
  5. Step 5: Solve for x
    x = 5,510,294.03/3,613.77
  6. Step 6: Final answer
    x = 1,524.80

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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.