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Finding the Fourth Proportional to 5,494.11, 7,581.84 and 3,136.25

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Solution

The fourth proportional to 5,494.11, 7,581.84 and 3,136.25 is: 4,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.11 : 7,581.84 = 3,136.25 : x
  2. Step 2: Convert to fraction form
    5,494.11/7,581.84 = 3,136.25/x
  3. Step 3: Cross multiply
    5,494.11x = 7,581.84 × 3,136.25
  4. Step 4: Simplify right side
    5,494.11x = 23,778,524.46
  5. Step 5: Solve for x
    x = 23,778,524.46/5,494.11
  6. Step 6: Final answer
    x = 4,328.00

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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.