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Finding the Fourth Proportional to 3,497.40, 5,241.30 and 2,849.40

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Solution

The fourth proportional to 3,497.40, 5,241.30 and 2,849.40 is: 4,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.40 : 5,241.30 = 2,849.40 : x
  2. Step 2: Convert to fraction form
    3,497.40/5,241.30 = 2,849.40/x
  3. Step 3: Cross multiply
    3,497.40x = 5,241.30 × 2,849.40
  4. Step 4: Simplify right side
    3,497.40x = 14,934,560.22
  5. Step 5: Solve for x
    x = 14,934,560.22/3,497.40
  6. Step 6: Final answer
    x = 4,270.19

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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.