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Finding the Fourth Proportional to 5,492.98, 8,241.62 and 2,412.82

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Solution

The fourth proportional to 5,492.98, 8,241.62 and 2,412.82 is: 3,620.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.98 : 8,241.62 = 2,412.82 : x
  2. Step 2: Convert to fraction form
    5,492.98/8,241.62 = 2,412.82/x
  3. Step 3: Cross multiply
    5,492.98x = 8,241.62 × 2,412.82
  4. Step 4: Simplify right side
    5,492.98x = 19,885,504.36
  5. Step 5: Solve for x
    x = 19,885,504.36/5,492.98
  6. Step 6: Final answer
    x = 3,620.17

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1.5x scale

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.