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Finding the Fourth Proportional to 3,463.16, 5,194.42 and 1,411

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Solution

The fourth proportional to 3,463.16, 5,194.42 and 1,411 is: 2,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.16 : 5,194.42 = 1,411 : x
  2. Step 2: Convert to fraction form
    3,463.16/5,194.42 = 1,411/x
  3. Step 3: Cross multiply
    3,463.16x = 5,194.42 × 1,411
  4. Step 4: Simplify right side
    3,463.16x = 7,329,326.62
  5. Step 5: Solve for x
    x = 7,329,326.62/3,463.16
  6. Step 6: Final answer
    x = 2,116.37

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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.