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Finding the Fourth Proportional to 3,497.66, 5,241.21 and 2,109.45

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Solution

The fourth proportional to 3,497.66, 5,241.21 and 2,109.45 is: 3,160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.66 : 5,241.21 = 2,109.45 : x
  2. Step 2: Convert to fraction form
    3,497.66/5,241.21 = 2,109.45/x
  3. Step 3: Cross multiply
    3,497.66x = 5,241.21 × 2,109.45
  4. Step 4: Simplify right side
    3,497.66x = 11,056,070.43
  5. Step 5: Solve for x
    x = 11,056,070.43/3,497.66
  6. Step 6: Final answer
    x = 3,160.99

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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.